In a right-angled triangle, we have three sides, namely \u2013 Adjacent side, Hypotenuse, and Opposite side. These three sides are shown in the right-angled triangle given below.<\/span><\/p>\n AB = Adjacent side to angle A<\/span><\/p>\n BC = Opposite side to angle A<\/span><\/p>\n CA = Hypotenuse to angle A<\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n In a right triangle –\u00a0<\/span><\/p>\n Before moving to the trigonometric table, let us learn about the basic trigonometry formulas.<\/span><\/p>\n <\/span>These formulas help us find the relationship between trigonometric ratios and the ratio of the corresponding sides of a right-angled triangle.\u00a0<\/span><\/p>\n There are six trigonometric ratios or trigonometric functions which are –<\/span><\/p>\n All the trigonometric functions relate to the sides of a right-angle triangle, and we can find their formulas using the following ratios.<\/span><\/p>\n <\/p>\n There is a shortcut trick to remember these formulas.<\/span><\/p>\n \u201c<\/span>Some People Have Curly Brown Hair Turned Permanently Black<\/b>\u201d<\/span><\/p>\n This phrase is divided into three parts. Every alphabet of the first word represents a trigonometric identity and the next two words\u2019 first alphabet describes the formula for it.\u00a0\u00a0<\/span><\/p>\n Like \u2018S\u2019 alphabet in \u2018Some\u2019 indicates \u2018sin\u2019 function. Now next two words\u2019 first alphabet describes the formula for sin. \u2018P\u2019 alphabet in \u2018People\u2019 represents \u2018Perpendicular\u2019 and \u2018H\u2019 alphabet in \u2018Have\u2019 represents \u2018Hypotenuse\u2019.\u00a0<\/span><\/p>\n Thus we can memorize, sin (some) = Perpendicular (people) \/ Hypotenuse (have)<\/span><\/p>\n Similarly,\u00a0<\/span><\/p>\n cos(curly) = base (brown) \/ hypotenuse (hair)<\/span><\/p>\n tan( turned)= perpendicular(permanently) \/ base (black)<\/span><\/p>\n <\/p>\n The trigonometry table is a tabular representation of values of trigonometric functions of various standard angles, including 0\u00b0, 30\u00b0, 45\u00b0, 60\u00b0, 90\u00b0, 180\u00b0, 270\u00b0, and 360\u00b0.\u00a0 The values of trigonometric functions of these angles are essential to solve the trigonometry problems.\u00a0<\/span><\/p>\n <\/span><\/p>\n <\/p>\n The trigonometric table may seem complex to remember but it can be remembered easily by using a trick. Before revealing the trick, there are some formulas given below that are very important to learn.<\/span><\/p>\n Now we will use the trick to create and remember the trigonometric table.<\/span><\/span><\/p>\n \n <\/span><\/p>\n \n <\/span><\/p>\n \n <\/span><\/p>\n \n <\/span><\/p>\n sin (180\u00b0 \u2212 x) = sin x<\/span><\/p>\n sin (180\u00b0 + x) = -sin x<\/span><\/p>\n sin (360\u00b0 \u2212 x) = -sin x<\/span><\/span><\/p>\n This means,<\/span><\/p>\n sin 180\u00b0 = sin (180\u00b0 \u2212 0\u00b0) = sin 0\u00b0 = 0<\/span><\/p>\n sin 270\u00b0 = sin (180\u00b0 + 90\u00b0) = -sin 90\u00b0 = -1<\/span><\/p>\n Sin 360\u00b0 = sin (360\u00b0 \u2212 0\u00b0) = -sin 0\u00b0 = 0<\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n For example, cos 60\u00b0 = sin (90\u00b0 \u2013 30\u00b0) = sin 30\u00b0 = \u00bd.\u00a0<\/span><\/p>\n Similarly, you can find out the other values.<\/span><\/p>\n \n <\/span><\/p>\n For example, the value of tan 30\u00b0 = (sin 30\u00b0\/cos 30\u00b0) = (\u00bd) \/(\u221a3\/2) = 1\/\u221a3.\u00a0<\/span><\/p>\n Similarly, we can generate the other values.\u00a0<\/span><\/p>\n \n <\/span><\/p>\n For example, the value of cot 30\u00b0 = 1\/tan 30\u00b0 = 1\/(1\/\u221a3) = \u221a3.<\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n \n <\/span><\/p>\n \n <\/span><\/p>\n The value of trigonometric functions for angles ranging from 0\u00b0 to 360\u00b0 is given in the following trigonometry table.\u00a0<\/span><\/p>\n <\/span><\/p>\n \n <\/span><\/p>\n 1. In the figure given below, find the value of tan A?<\/strong> Solution:<\/strong><\/p>\n tan \u03b8 = Opposite Side\/Adjacent Side<\/span><\/p>\n So, tan A = 3\/4<\/span><\/p>\n <\/p>\n 2. What is the value of cos 270\u00b0?<\/strong> Solution:<\/strong><\/span><\/p>\n We know that, cos x = sin (90\u00b0 \u2013 x)<\/span><\/p>\n So, cos 270\u00b0 = sin (90\u00b0 – 270\u00b0) = – sin 180\u00b0<\/span><\/p>\n and sin 180\u00b0 = sin (180\u00b0 \u2212 0\u00b0) = sin 0\u00b0 = 0<\/span><\/p>\n Hence, cos 270\u00b0 = – sin 180\u00b0 = 0<\/span><\/p>\n [\/et_pb_text][\/et_pb_column][et_pb_column type=”2_5″ module_id=”stickysideR” admin_label=”Column R” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fdefe0″ custom_padding=”25px|25px|25px|25px|true|true” sticky_position=”top” sticky_offset_top=”-280px” sticky_limit_top=”row” sticky_limit_bottom=”row” sticky_position_tablet=”none” sticky_position_phone=”none” sticky_position_last_edited=”on|desktop” sticky_limit_bottom_tablet=”” sticky_limit_bottom_phone=”” sticky_limit_bottom_last_edited=”on|phone” border_radii=”on|15px|15px|15px|15px” box_shadow_style=”preset3″ global_colors_info=”{}”][et_pb_image src=”https:\/\/eistudymaterial.s3.amazonaws.com\/1080×1080.png” alt=”Free Trial banner” title_text=”Mindspark Free Trial Banner” url=”https:\/\/mindspark.in\/free-trial” align=”center” module_class=”adsimg” _builder_version=”4.11.1″ _module_preset=”default” custom_padding=”||||false|false” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” transform_styles__hover_enabled=”on|hover” transform_scale__hover_enabled=”on|hover” transform_translate__hover_enabled=”on|desktop” transform_rotate__hover_enabled=”on|desktop” transform_skew__hover_enabled=”on|desktop” transform_origin__hover_enabled=”on|desktop” transform_scale__hover=”102%|102%”][\/et_pb_image][et_pb_text admin_label=”Explore Other Topics [\/et_pb_text][et_pb_text _builder_version=”4.10.7″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n![\"\"](\"https:\/\/eistudymaterial.s3.amazonaws.com\/tria-300x202.png\")
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What is a Trigonometry Table?<\/b><\/h2>\n
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<\/span><\/p>\nTips to Remember Trigonometry Table<\/b><\/h2>\n
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<\/span><\/p>\nExamples<\/b><\/h2>\n
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\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\nExplore Other Topics<\/h1>\n