{"id":5065,"date":"2019-01-28T09:45:19","date_gmt":"2019-01-28T04:15:19","guid":{"rendered":"https:\/\/physicscatalyst.com\/article\/?p=5065"},"modified":"2023-01-27T04:27:14","modified_gmt":"2023-01-26T22:57:14","slug":"important-trigonometry-questions-for-class-11-maths","status":"publish","type":"post","link":"https:\/\/physicscatalyst.com\/article\/important-trigonometry-questions-for-class-11-maths\/","title":{"rendered":"Important trigonometry questions for class 11 Maths"},"content":{"rendered":"\n

Here are some good Important trigonometry questions for class 11 Maths<\/strong><\/p>\n\n\n\n

1.if $tan \\theta = \\frac {a}{b}$ , show that $\\frac {a sin \\theta – b cos \\theta}{a sin \\theta + b cos \\theta}= \\frac {a^2 – b^2}{a^2 + b^2}$<\/p>\n\n\n\n

2.Prove that $sec^4 x – sec^x = tan^4x + tan^2 x$<\/p>\n\n\n\n

3.Prove that $cosec x ( sec x -1) – cot x(1- cos x) = tan x – sin x$<\/p>\n\n\n\n

4.if $2C = A + B$, prove that<\/p>\n\n\n\n

$cot B = \\frac {sin A – sin C}{Cos C – CosA}$<\/p>\n\n\n\n

5. Find the values of the below expression<\/p>\n\n\n\n

a. $ cos 20^{\\circ} cos 40^{\\circ} cos 60^{\\circ} cos 80^{\\circ}$<\/p>\n\n\n\n

b. $sin 10^{\\circ} sin30^{\\circ} sin 50^{\\circ} sin70^{\\circ}$<\/p>\n\n\n\n

6.if $Sinx = \\frac {3}{5} ,cos y=\\frac {9}{41} , 0<x,y < \\frac {\\pi}{2}$, then find the values<\/p>\n\n\n\n

a. sin (x -y)<\/p>\n\n\n\n

b. tan (x-y)<\/p>\n\n\n\n

c. cot (x+y)<\/p>\n\n\n\n

7. Derive the values of the angle<\/p>\n\n\n\n

a. $sin 18^{\\circ}$<\/p>\n\n\n\n

b. $tan15^{\\circ}$<\/p>\n\n\n\n

c. $sin 67 \\frac {1}{2}^{\\circ}$<\/p>\n\n\n\n

8. Prove that<\/p>\n\n\n\n

$cos 55^{\\circ} + cos 65^{\\circ} + cos175^{\\circ}=0$<\/p>\n\n\n\n

9.  If $y = cos^2x + sin^4x$ for all values of x, then prove that<\/p>\n\n\n\n

$ \\frac {3}{4} \\leq y \\leq 1$<\/p>\n\n\n\n

10. Find the solution of the trigonometric equation\u00a0\u00a0\u00a0$2 tan^2 x + sec^2 x = 2$\u00a0 in the range $[0,2\\pi]$<\/p>\n\n\n\n

11. Which of the following is not correct?
(A) sin A = \u20131\/5
(B) cos A = 1
(C) sec A =1\/2
(D) tan A = 20<\/p>\n\n\n\n

12.Show that $2 sin^2 y + 4 cos (x + y) sin x sin y + cos 2 (x + y) = cos 2x$<\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

5<\/p>\n\n\n\n

a. 1\/16<\/p>\n\n\n\n

b. 1\/16<\/p>\n\n\n\n

6.<\/p>\n\n\n\n

a. -133\/205<\/p>\n\n\n\n

b. -133\/156<\/p>\n\n\n\n

c. -84\/187<\/p>\n\n\n\n

7.<\/p>\n\n\n\n

a. $\\frac {\\sqrt {5} -1}{4}$<\/p>\n\n\n\n

b. $2- \\sqrt {3}$<\/p>\n\n\n\n

c.$\\frac {\\sqrt {2+ \\sqrt {2}}}{2}$<\/p>\n\n\n\n

10.$( \\pi\/6, 5\\pi\/6, 7 \\pi\/6 ,11 \\pi\/6)$<\/p>\n\n\n\n

11.c<\/p>\n\n\n\n

Related Links<\/strong><\/p>\n\n\n\n

Trigonometric functions<\/a>
Domain ,Range and Graphs of Trigonometric functions<\/a>
Trigonometric equations<\/a>
Trigonometric table from 0 to 360 (cos -sin-cot-tan-sec-cosec)<\/a>
How to easily remember trigonometric ratios table<\/a>
Trigonometry Formulas for class 11 (PDF download)<\/a>
find the range of a function<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Here are some good Important trigonometry questions for class 11 Maths 1.if $tan \\theta = \\frac {a}{b}$ , show that $\\frac {a sin \\theta – b cos \\theta}{a sin \\theta + b cos \\theta}= \\frac {a^2 – b^2}{a^2 + b^2}$ 2.Prove that $sec^4 x – sec^x = tan^4x + tan^2 x$ 3.Prove that $cosec x ( […]<\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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= frac {a}{b}$ , show that $frac {a sin theta – b cos theta}{a sin theta + b cos theta}= frac {a^2 – b^2}{a^2 + b^2}$ 2.Prove that $sec^4 x – sec^x = tan^4x + tan^2 x$ 3.Prove that $cosec x ( […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/physicscatalyst.com\/article\/important-trigonometry-questions-for-class-11-maths\/\" \/>\n<meta property=\"og:site_name\" content=\"physicscatalyst's Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/PhysicsCatalyst\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/PhysicsCatalyst\" \/>\n<meta property=\"article:published_time\" content=\"2019-01-28T04:15:19+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-01-26T22:57:14+00:00\" \/>\n<meta name=\"author\" content=\"physicscatalyst\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"physicscatalyst\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. 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