If $\alpha +\beta +\gamma =2\pi ,$ then

Important Questions on Trigonometric Functions and Equations

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 48

If $\sin x+\cos x=\frac{\sqrt{7}}{2}$, where $x\in \left[0,\frac{\pi }{4}\right]$, then $\tan \frac{x}{2}$ is equal to 

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 49

If $\sin B=\frac{1}{5}\sin \left(2A+B\right)$, then $\frac{\tan \left(A+B\right)}{\tan A}$ is 

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 50

If $\tan \alpha =\frac{1}{7}$ and $\sin \beta =\frac{1}{\sqrt{10}}$, where $0<\alpha , \beta <\frac{\pi }{2}$, then $2\beta$ is equal to

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 51

$\frac{3\cos \theta +\cos 3\theta }{3\sin \theta -\sin 3\theta }$ is equal to 

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 52

If $3\sin \alpha =5\sin \beta$, then $\frac{\tan \frac{\alpha +\beta }{2}}{\tan \frac{\alpha -\beta }{2}}$ is equal to

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 53

If $\cos 2B=\frac{\cos \left(A+C\right)}{\cos \left(A-C\right)},$ then

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 54

If $\tan x=\frac{b}{a}$, then the value of $a\cos 2x+b\sin 2x$ is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 9 - Trigonometric Functions and Equations>Target Exercises>Q 55

The graph of the function $\cos x\cos \left(x+2\right)-{\cos }^2\left(x+1\right)$ is