If $90°<A<180°$ and $\sin A=\frac{4}{5}$, then $\tan \frac{A}{2}$ is equal to

Important Questions on Trigonometric Functions of Compound Angles

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Trigonometric Functions of Compound Angles>Competitive Thinking>Q 84

If $\theta$ is an acute angle and $\sin \frac{\theta }{2}=\sqrt{\frac{x-1}{2x}}$, then $\tan \theta$ is equal to

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Trigonometric Functions of Compound Angles>Competitive Thinking>Q 85

If $\tan \left(\frac{x}{2}\right)=\mathrm{cosec}x-\sin x$, then the value of ${\tan }^2\left(\frac{x}{2}\right)$ is 

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Trigonometric Functions of Compound Angles>Competitive Thinking>Q 86

If $\cos \theta =\frac{\cos \alpha -\cos \beta }{1-\cos \alpha \cos \beta }$, then one of the values of $\tan \left(\frac{\theta }{2}\right)$ is

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Trigonometric Functions of Compound Angles>Competitive Thinking>Q 87

If $\theta \in \left(\frac{\pi }{2},\frac{3\pi }{2}\right)$, then the value of $\sqrt{4{\cos }^4\theta +{\sin }^{2}2\theta }+4\cot \theta {\cos }^2\left(\frac{\pi }{4}-\frac{\theta }{2}\right)$ is

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Trigonometric Functions of Compound Angles>Competitive Thinking>Q 88

$\left(m+2\right)\sin \theta +\left(2m-1\right)\cos \theta =\left(2m+1\right)$, if $\tan \theta$ is equal to 

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Trigonometric Functions of Compound Angles>Competitive Thinking>Q 89

Given that $\cos \left(\frac{\alpha -\beta }{2}\right)=2\cos \left(\frac{\alpha +\beta }{2}\right)$, then $\tan \frac{\alpha }{2} \tan \frac{\beta }{2}$ is equal to

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Trigonometric Functions of Compound Angles>Competitive Thinking>Q 90

The value of $\tan {\left(7\frac{1}{2}\right)}^{°}$ is equal to

HARD

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 1 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 2 - Trigonometric Functions of Compound Angles>Competitive Thinking>Q 91

$\sqrt{2}+\sqrt{3}+\sqrt{4}+\sqrt{6}$ is equal to