If $\cos \left(A+B\right)=\alpha \cos A\cos B+\beta \sin A\sin B$, then $\left(\alpha ,\beta \right)$ is

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 2

If $\sin A=\frac{4}{5}$ and $\cos B=-\frac{12}{13}$, where $A$ and $B$ lie in first and third quadrant respectively, then $\cos \left(A+B\right)=$

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 3

If $\sin A=\frac{1}{\sqrt{10}}$ and $\sin B=\frac{1}{\sqrt{5}}$, where $A$ and $B$ are positive acute angles, then $A+B=$

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 4

If $\tan \theta =\frac{1}{2}$ and $\tan \varphi =\frac{1}{3}$, then $\tan (2\theta +\varphi )$ 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 5

If $\cos \theta =\frac{8}{17}$ and $\theta$ lies in the $1^{\mathrm{st}}$ quadrant, then the value of $\cos \left(30°+\theta \right)+\cos \left(45°-\theta \right)+\cos \left(120°-\theta \right)$ is

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 6

If $A+B=\frac{\mathrm{\pi }}{4}$, then $(1+\tan A)(1+\tan B)=$

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 7

If $A+B={45}^{°}$, then $\left(\cot A-1\right)\left(\cot B-1\right)=$

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 8

If $\cos (\theta -\alpha )=a, \sin (\theta -\beta )=b$, then ${\cos }^2(\alpha -\beta )+2\mathrm{absin}(\alpha -\beta )$ 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 9

If $x, y, z$ are any three real numbers, then $\tan (x-y)+\tan (y-z)+\tan (z-x)$ is equal to