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

Important Questions on Trigonometric Ratios, Functions and Identities

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

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 28 June 2022 Shift 2>Q 43

If $\cot \alpha =1$ and $\sec \beta =-\frac{5}{3}$, where $\pi <\alpha <\frac{3\pi }{2}$ and $\frac{\pi }{2}<\beta <\pi$, then the value of $\tan \left(\alpha +\beta \right)$ and the quadrant in which $\alpha +\beta$ lies, respectively are

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 29 June 2022 Shift 2>Q 44

The number of solutions of the equation $\sin x={\cos }^2 x$ in the interval $\left(0, 10\right)$ is ______.

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 10 - Trigonometric Ratios, Functions and Identities>JEE Main - 25 July 2022 Shift 2>Q 45

The value of $2\sin \frac{\pi }{22}\sin \frac{3\pi }{22}\sin \frac{5\pi }{22}\sin \frac{7\pi }{22}\sin \frac{9\pi }{22}$ is equal to: