If $\mathrm{cosec} \mathrm{\theta }=\frac{\mathrm{p}+\mathrm{q}}{ \mathrm{p}-\mathrm{q} }\left(\mathrm{p}\ne \mathrm{q}, \mathrm{p}\ne 0\right),$then $\left|\cot \left(\frac{\mathrm{\pi }}{4}+\frac{\mathrm{\theta }}{2}\right)\right|$ is equals to:

Important Questions on Trigonometric Ratios, Functions and Identities

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 6th April 2014>Q 35

Let $f_k\left(x\right)=\frac{1}{k}\left({\sin }^{k }x+{\cos }^{k }x\right)$ where $x\in R$ and $k\ge 1$. Then $f_4\left(x\right)-f_6\left(x\right)$ equals 

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 7th April 2013>Q 36

$ABCD$ is a trapezium such that $AB$ and $CD$ are parallel and $BC\perp CD$. If $\angle ADB=\theta$, $BC=p$ and $CD=q$, then $AB$ is equal to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 7th April 2013>Q 37

The expression $\frac{\mathrm{tanA}}{1-\mathrm{cotA}}+\frac{\mathrm{cotA}}{1-\mathrm{tanA}}$ can be written as :

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 25 June 2022 Shift 2>Q 38

The value of $2\sin 12°-\sin 72°$ is

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 26 June 2022 Shift 2>Q 39

$16\sin \left(20°\right)\sin \left(40°\right)\sin \left(80°\right)$ is equal to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 26 June 2022 Shift 1>Q 40

If ${\sin }^2\left(10°\right)\sin \left(20°\right)\sin \left(40°\right)\sin \left(50°\right)\sin \left(70°\right)=\alpha -$ $\frac{1}{16}\sin \left(10°\right)$, then $16+{\alpha }^{-1}$ is equal to _____.

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 27 June 2022 Shift 1>Q 41

The value of $\cos \left(\frac{2\pi }{7}\right)+\cos \left(\frac{4\pi }{7}\right)+\cos \left(\frac{6\pi }{7}\right)$ is equal to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 27 June 2022 Shift 2>Q 42

$\alpha =\sin 36°$ is a root of which of the following equation