New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Trigonometric Ratio and Identites question

2024 · 30 Jan · Shift 2 · Q34

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Trigonometric Ratio and Identites
2024 · 30 Jan · Shift 2 · Q34

Trigonometric Ratio and Identites question

2024 · 30 Jan · Shift 2 · Q34

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

For

\alpha, \beta \in(0, \pi / 2)

, let

3 \sin (\alpha+\beta)=2 \sin (\alpha-\beta)

and a real number

k

be such that

\tan \alpha=k \tan \beta

. Then, the value of

k

is equal to

A
5
B
$-$ 2/3
C
$-$ 5
D
2/3

More from Trigonometric Ratio and Identites

The number of solutions, of the equation $e^{s i n x} - 2 e^{- s i n x} = 2$ , is :2024 · MCQ
The value of $tan 9^{\circ} - tan 2 7^{\circ} - tan 6 3^{\circ} + tan 8 1^{\circ}$ is .2023 · Numerical
The value of $36 (4 cos^{2} 9^{\circ} - 1) (4 cos^{2} 2 7^{\circ} - 1) (4 cos^{2} 8 1^{\circ} - 1) (4 cos^{2} 24 3^{\circ} - 1)$ is :2023 · MCQ
$96 cos \frac{π}{33} cos \frac{2 π}{33} cos \frac{4 π}{33} cos \frac{8 π}{33} cos \frac{16 π}{33}$ is equal to :2023 · MCQ
Let $f (θ) = 3 (sin^{4} (\frac{3 π}{2} - θ) + sin^{4} (3 π + θ)) - 2 (1 - sin^{2} 2 θ)$ and $$S = \left\{ {\theta \in [0,\pi ]:f'(\theta ) = - {{\sqrt 3 } \over 2}}…2023 · MCQ
The set of all values of $λ$ for which the equation $cos^{2} 2 x - 2 sin^{4} x - 2 cos^{2} x = λ$ has a real solution $x$ , is :2023 · MCQ
If $tan 1 5^{\circ} + \frac{1}{t a n 7 5 ^{\circ}} + \frac{1}{t a n 10 5 ^{\circ}} + tan 19 5^{\circ} = 2 a$ , then the value of $(a + \frac{1}{a})$ is :2023 · MCQ
$2 sin (\frac{π}{22}) sin (\frac{3 π}{22}) sin (\frac{5 π}{22}) sin (\frac{7 π}{22}) sin (\frac{9 π}{22})$ is equal to :2022 · MCQ