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Logarithm question

2023 · 30 Jan · Shift 1 · Q29

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PYQ Library
JEE Main
Mathematics
Logarithm
2023 · 30 Jan · Shift 1 · Q29

Logarithm question

2023 · 30 Jan · Shift 1 · Q29

JEE MainMathematicsLogarithmMCQ+4 / −1

If the solution of the equation

\log _{\cos x} \cot x+4 \log _{\sin x} \tan x=1, x \in\left(0, \frac{\pi}{2}\right)

, is

\sin ^{-1}\left(\frac{\alpha+\sqrt{\beta}}{2}\right)

, where

\alpha

,

\beta

are integers, then

\alpha+\beta

is equal to :

A
3
B
6
C
4
D
5

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