If $A+B=225°$, then $\frac{\cot A}{1+\cot A}·\frac{\cot B}{1+\cot B}=$

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>Critical Thinking>Q 23

The expression ${\cos }^2\left(\frac{\mathrm{\pi }}{4}-\beta \right)-{\sin }^2\left(\alpha -\frac{\mathrm{\pi }}{4}\right)=$

EASY

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>Critical Thinking>Q 24

${\cos }^2\frac{\mathrm{\pi }}{12}+{\cos }^2\frac{\mathrm{\pi }}{4}+{\cos }^2\frac{5\mathrm{\pi }}{12}=$

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>Critical Thinking>Q 25

If $\tan \alpha =\frac{1}{7}$ and $\tan \beta =\frac{1}{3}$, then $\cos 2\alpha =$

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>Critical Thinking>Q 26

If $\cos \theta =\frac{1}{2}\left(x+\frac{1}{x}\right)$, then $\frac{1}{2}\left(x^2+\frac{1}{x^2}\right)=$

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>Critical Thinking>Q 27

If $\sin x+\cos x=\frac{1}{5}$ and $0\le x\le \mathrm{\pi }$, then $\tan x$ is equal to

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>Critical Thinking>Q 28

If $0<x<\mathrm{\pi }$ and $\cos x+\sin x=\frac{1}{2}$, then $\tan x$ 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>Critical Thinking>Q 29

$\tan \left(\frac{\mathrm{\pi }}{4}+\theta \right)-\tan \left(\frac{\mathrm{\pi }}{4}-\theta \right)=$

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>Critical Thinking>Q 30

If $\sec 2\theta =p+\tan 2\theta$, then the value of ${\sin }^2\theta$ in terms of $p$ is