{"id":6382,"date":"2021-12-21T12:30:56","date_gmt":"2021-12-21T12:30:56","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=6382"},"modified":"2022-01-03T07:49:11","modified_gmt":"2022-01-03T07:49:11","slug":"table-of-trigonometry-and-trigonometric-ratios","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/table-of-trigonometry-and-trigonometric-ratios\/","title":{"rendered":"TABLE OF TRIGONOMETRY AND TRIGONOMETRIC RATIOS"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; admin_label=&#8221;Section&#8221; module_class=&#8221;mainsec&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#e0f2fd&#8221; z_index=&#8221;1&#8243; custom_padding=&#8221;5px||5px||true|false&#8221; locked=&#8221;off&#8221; collapsed=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row column_structure=&#8221;3_5,2_5&#8243; custom_padding_last_edited=&#8221;on|phone&#8221; _builder_version=&#8221;4.10.8&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#FFFFFF&#8221; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; custom_padding=&#8221;|51px|40px|51px|false|true&#8221; custom_padding_tablet=&#8221;&#8221; custom_padding_phone=&#8221;|40px|30px|40px|false|true&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;3_5&#8243; admin_label=&#8221;Column L&#8221; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text admin_label=&#8221;Acute Angles<br \/>\n&#8221; _builder_version=&#8221;4.13.1&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_text_align=&#8221;left&#8221; header_font_size=&#8221;50px&#8221; header_line_height=&#8221;1.18em&#8221; custom_padding=&#8221;|0px||4px|false|false&#8221; header_font_size_tablet=&#8221;&#8221; header_font_size_phone=&#8221;35px&#8221; header_font_size_last_edited=&#8221;on|phone&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>TABLE OF TRIGONOMETRY AND TRIGONOMETRIC RATIOS<\/h1>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Text&#8221; _builder_version=&#8221;4.13.1&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; header_2_font=&#8221;|600|||||||&#8221; header_2_text_color=&#8221;#a01414&#8243; header_3_font=&#8221;|600|||||||&#8221; custom_padding=&#8221;15px|15px|54px|4px|false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h2><b>TABLE OF TRIGONOMETRY<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Trigonometry is a branch of mathematics that deals with the length of lines and angles of a triangle. It has a large number of applications.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The trigonometric table helps to find the standard values of trigonometric angles. The six trigonometric ratios are sin, cos, tan, cosec, sec and cot. These ratios help us to solve the problems in trigonometry.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The trigonometric table below shows the value for standard angles \u00a0 0\u00b0, 30\u00b0, 45\u00b0, 60\u00b0 and 90\u00b0.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-01-300x164.png\" width=\"600\" height=\"328\" alt=\"\" class=\"wp-image-7044 alignnone size-medium\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-01-300x164.png 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-01-480x263.png 480w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-01.png 691w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/> <\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400;\">The values \u03c0\/6, \u03c0\/4, \u03c0\/3 and \u03c0\/2 are angles in radians where \u03c0 = 180\u00b0.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Now, before we go any further, let us understand what ratio makes what trigonometric angle.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Take a look at the right-angled triangle below:<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/asf-300x300.jpg\" width=\"300\" height=\"300\" alt=\"\" class=\"wp-image-6386 alignnone size-medium\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/asf-300x300.jpg 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/asf-150x150.jpg 150w, https:\/\/eistudymaterial.s3.amazonaws.com\/asf.jpg 449w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p><span style=\"font-weight: 400;\">This is a 90\u00b0 triangle. The longest side in a right triangle is the side opposite the 90\u00b0 angle. It\u00a0 is called the hypotenuse.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In a right-angled triangle, it is possible to find the value of one of the sides if the value of the other two sides is given. Here, in the above diagram, the side opposite the angle \u019f is the perpendicular and the side adjacent to the angle is the base. We can use the Pythagoras theorem for this,\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\text { perpendicular }^{2}+\\text { base }^{2}=\\text { hypotenuse }^{2} <\/span><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><br \/><span class=\"katex-eq\" data-katex-display=\"false\">a^{2}+b^{2}=c^{2}<\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400;\">The trigonometric ratios are the ratios of different sides of a triangle.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">For example:\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">sin \u019f = side opposite the angle \u019f\/ hypotenuse or perpendicular\/ hypotenuse.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In this case, sin \u019f = a\/c.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Similarly, see the table below to find the value of different trigonometric ratios:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-02-300x146.png\" width=\"600\" height=\"292\" alt=\"\" class=\"wp-image-6431 alignnone size-medium\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-02-300x146.png 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-02-480x234.png 480w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-02.png 681w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/p>\n<h2 style=\"text-align: left;\"><\/h2>\n<h2 style=\"text-align: left;\"><span style=\"font-weight: 400;\"><b>HOW TO CREATE A TRIGONOMETRIC TABLE?<\/b><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">It is very easy to remember the values of the ratios at the standard angles if we know the basic trigonometry formulas.\u00a0<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">sin \u019f = cos (90\u00b0 &#8211; \u019f)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">cos \u019f = sin (90\u00b0 &#8211; \u019f)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">tan \u019f = cot (90\u00b0 &#8211; \u019f)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">cot \u019f = tan (90\u00b0 &#8211; \u019f)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">cosec \u019f = sec (90\u00b0 &#8211; \u019f)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">sec \u019f = cosec (90\u00b0 &#8211; \u019f)<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">1\/sin \u019f = cosec \u019f<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">1\/cos \u019f = sec \u019f<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">1\/tan \u019f = cot \u019f<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Create a table with the standard angles in the top row and write the six trigonometric ratios in the left-most column.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">First, we will find the value of sin.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Under the angles 0\u00b0, 30\u00b0, 45\u00b0, 60\u00b0 and 90\u00b0, write the numbers 0, 1, 2, 3 and 4. Divide all the numbers by four and find the root. You will get the following:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-03-300x77.png\" width=\"503\" height=\"129\" alt=\"\" class=\"wp-image-7045 alignnone size-medium\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-03-300x77.png 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-03-480x123.png 480w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-03.png 691w\" sizes=\"(max-width: 503px) 100vw, 503px\" \/><\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"font-weight: 400;\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">This is how we get the values of sin.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Now to find the values of cos, we need to write the numbers in order of 4, 3, 2,1 and 0 and divide them by 4 under the root.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">You will get the following values-<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-04-300x77.png\" width=\"503\" height=\"129\" alt=\"\" class=\"wp-image-7046 alignnone size-medium\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-04-300x77.png 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-04-480x123.png 480w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-04.png 691w\" sizes=\"(max-width: 503px) 100vw, 503px\" \/><\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"font-weight: 400;\"><\/span><\/p>\n<p><b>Note:<\/b><span style=\"font-weight: 400;\"> the values of sin and cos for standard angles are in the opposite sequence of each other.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">We know that tan \u019f = sin \u019f\/cos \u019f<\/span><\/p>\n<p><span style=\"font-weight: 400;\">We will simply divide the values of sin and cos of the standard angles to find the values of tan \u2013<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-05-300x77.png\" width=\"502\" height=\"129\" alt=\"\" class=\"wp-image-7047 alignnone size-medium\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-05-300x77.png 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-05-480x123.png 480w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-05.png 691w\" sizes=\"(max-width: 502px) 100vw, 502px\" \/><\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"font-weight: 400;\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Once we know these three ratios, it is easy to find cosec, sec and cot.<\/span><\/p>\n<p><strong>i.<\/strong> The inverse of sin is cosec<\/p>\n<p><strong>ii.<\/strong> The inverse of cos is sec and<\/p>\n<p><b>iii. <\/b><span style=\"font-weight: 400;\">The inverse of tan is cot.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">We find cosec using the formula 1\/sin \u019f = cosec \u019f<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-06-300x77.png\" width=\"503\" height=\"129\" alt=\"\" class=\"wp-image-7048 alignnone size-medium\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-06-300x77.png 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-06-480x123.png 480w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-06.png 691w\" sizes=\"(max-width: 503px) 100vw, 503px\" \/><\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"font-weight: 400;\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">We can find sec using the formula 1\/cos \u019f = sec \u019f<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-07-300x77.png\" width=\"503\" height=\"129\" alt=\"\" class=\"wp-image-7049 alignnone size-medium\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-07-300x77.png 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-07-480x123.png 480w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-07.png 691w\" sizes=\"(max-width: 503px) 100vw, 503px\" \/><\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"font-weight: 400;\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">We can find cot either using 1\/tan \u019f = cot \u019f or cot \u019f = cosec \u019f\/ sec \u019f<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-08-300x77.png\" width=\"503\" height=\"129\" alt=\"\" class=\"wp-image-7050 alignnone size-medium\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-08-300x77.png 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-08-480x123.png 480w, https:\/\/eistudymaterial.s3.amazonaws.com\/Table-of-Trigonometry-08.png 691w\" sizes=\"(max-width: 503px) 100vw, 503px\" \/><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><\/span><\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;2_5&#8243; module_id=&#8221;stickysideR&#8221; admin_label=&#8221;Column R&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#fdefe0&#8243; custom_padding=&#8221;25px|25px|25px|25px|true|true&#8221; sticky_position=&#8221;top&#8221; sticky_offset_top=&#8221;-280px&#8221; sticky_limit_top=&#8221;row&#8221; sticky_limit_bottom=&#8221;row&#8221; sticky_position_tablet=&#8221;none&#8221; sticky_position_phone=&#8221;none&#8221; sticky_position_last_edited=&#8221;on|desktop&#8221; sticky_limit_bottom_tablet=&#8221;&#8221; sticky_limit_bottom_phone=&#8221;&#8221; sticky_limit_bottom_last_edited=&#8221;on|phone&#8221; border_radii=&#8221;on|15px|15px|15px|15px&#8221; box_shadow_style=&#8221;preset3&#8243; global_colors_info=&#8221;{}&#8221;][et_pb_image src=&#8221;https:\/\/eistudymaterial.s3.amazonaws.com\/1080&#215;1080.png&#8221; alt=&#8221;Free Trial 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header_font_size=&#8221;25px&#8221; text_orientation=&#8221;center&#8221; custom_margin=&#8221;0px||0px||true|false&#8221; custom_padding=&#8221;8px|15px|0px|15px|false|true&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Explore Other Topics<\/h1>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.10.7&#8243; _module_preset=&#8221;default&#8221; text_line_height=&#8221;2.2em&#8221; link_font_size=&#8221;16px&#8221; custom_margin=&#8221;||0px||false|false&#8221; custom_padding=&#8221;10px|15px|10px|28px|true|false&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div>\n<div class=\"trr\"><a href=\"https:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#geometry\" class=\"otherc\">Geometry<\/a><\/div>\n<div class=\"trr\"><a href=\"https:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#trigonometry\" class=\"otherc\">Trigonometry<\/a><\/div>\n<div class=\"trr\"><a href=\"https:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#operations\" class=\"otherc\">Operations<\/a><\/div>\n<div class=\"trr\"><a href=\"https:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#numbers\" class=\"otherc\">Numbers<\/a><\/div>\n<\/div>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Related Concepts<br \/>\n&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_font_size=&#8221;25px&#8221; text_orientation=&#8221;center&#8221; custom_margin=&#8221;0px||0px||true|false&#8221; custom_padding=&#8221;8px|15px|0px|15px|false|true&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Related Concepts<\/h1>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.13.1&#8243; _module_preset=&#8221;default&#8221; text_line_height=&#8221;2.2em&#8221; link_font_size=&#8221;16px&#8221; custom_margin=&#8221;||0px||false|false&#8221; custom_padding=&#8221;10px|15px|10px|28px|true|false&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div>\n<div class=\"trr\"><a href=\"https:\/\/mindspark.in\/studymaterial\/math-concepts\/sin-cos-tan-table-formulas-values-examples-and-faq\/\" class=\"otherc\">Sin Cos Tan Table<\/a><\/div>\n<div class=\"trr\"><a href=\"https:\/\/mindspark.in\/studymaterial\/math-concepts\/sin-table-trigonometry-table-values-examples\/\" class=\"otherc\">Sin Table<\/a><a href=\"#\" class=\"otherc\"><\/a><\/div>\n<\/div>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=&#8221;Row for space&#8221; _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_divider show_divider=&#8221;off&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_divider][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; admin_label=&#8221;banner and faq Section&#8221; module_class=&#8221;mainsec2&#8243; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;40px||0px||false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row use_custom_gutter=&#8221;on&#8221; gutter_width=&#8221;1&#8243; make_equal=&#8221;on&#8221; disabled_on=&#8221;on|on|off&#8221; admin_label=&#8221;banner Row&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#fff7d6&#8243; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; height=&#8221;134px&#8221; custom_margin=&#8221;||50px||false|false&#8221; custom_padding=&#8221;12px||12px||true|false&#8221; border_radii=&#8221;on|11px|11px|11px|11px&#8221; locked=&#8221;off&#8221; collapsed=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_image src=&#8221;https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/calloutImage.png&#8221; title_text=&#8221;calloutImage&#8221; show_bottom_space=&#8221;off&#8221; admin_label=&#8221;Image&#8221; module_class=&#8221;img1&#8243; _builder_version=&#8221;4.10.8&#8243; _module_preset=&#8221;default&#8221; width=&#8221;25px&#8221; height=&#8221;60px&#8221; custom_padding=&#8221;2px||2px||true|false&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][et_pb_text module_class=&#8221;ftstyle&#8221; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; text_orientation=&#8221;center&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div class=\"ffmanage\">\n<div class=\"textmanagestyle\">\n<div class=\"fone\">\n<p>Ready to get started ?<\/p>\n<\/div>\n<div class=\"sone\">\n<p class=\"ffbtn\"><a href=\"https:\/\/mindspark.in\/free-trial\">Start Free Trial<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/down-circle.png&#8221; title_text=&#8221;down-circle&#8221; show_bottom_space=&#8221;off&#8221; align=&#8221;right&#8221; module_class=&#8221;img2&#8243; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; width=&#8221;44px&#8221; height=&#8221;18px&#8221; custom_padding=&#8221;2px||2px||true|false&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=&#8221;FAQ Row&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; custom_padding=&#8221;|40px||40px|false|true&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text admin_label=&#8221;FAQ&#8221; module_class=&#8221;faqstyl&#8221; _builder_version=&#8221;4.13.1&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; header_font=&#8221;|700|||||||&#8221; header_text_align=&#8221;center&#8221; header_line_height=&#8221;2.5em&#8221; background_color=&#8221;#dbedc6&#8243; max_width=&#8221;80%&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;||||false|false&#8221; custom_padding=&#8221;30px|25px|30px|25px|true|true&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>\u00a0Frequently Asked Questions<span style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u00a0<\/span><\/span><\/h1>\n<ol><\/ol>\n<h3><strong>Q1.\u00a0<\/strong><b>What are the six trigonometric ratios?<\/b><\/h3>\n<p><span style=\"font-weight: 400;\"><strong>Ans:\u00a0<\/strong><\/span>The six trigonometric ratios are sin, cos, tan, cosec, sec and cot.<span style=\"font-size: 16px;\"><\/span><\/p>\n<h3><strong>Q2.\u00a0<\/strong><b>How do you find cosec \u019f?<\/b><\/h3>\n<p><strong style=\"font-size: 16px; color: #666666;\">Ans:\u00a0<\/strong><span style=\"color: #666666;\"><span style=\"font-size: 16px;\">We can use the formula 1\/sin \u019f = cosec \u019f. Cosec \u019f is also the ratio of hypotenuse to the perpendicular.\u00a0<\/span><\/span><span style=\"color: #666666;\"><span style=\"font-size: 16px;\"><\/span><\/span><\/p>\n<h3 style=\"background-color: #dbedc6;\"><span style=\"font-size: 22px; font-weight: bold;\">Q3.\u00a0<\/span><b>How do you find cos \u019f?<\/b><\/h3>\n<p><strong>Ans:\u00a0<\/strong>Sin and cos are opposite angles and thus can be found by writing the values of sin in reverse for standard angles of\u00a0 0\u00b0, 30\u00b0, 45\u00b0, 60\u00b0 and 90\u00b0.<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Meta Description: We can calculate the sum of the terms in a geometric progression using the formula  S = a(1-r^n)\/(1-r) when r < 1 and  S = a(r^n-1)\/(r-1)when r>1<\/p>\n","protected":false},"author":10,"featured_media":0,"parent":714,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.6 - 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