If the solution of the equation \log _{\cos x} \cot x+4 \log _{ \sin x} \tan x=1, x \in (0, \frac{\pi}{2}) , is \sin ^{-1} ( {\alpha+\sqrt{\beta}}/{2}), where \alpha, \beta are integers, then \alpha+\beta is equal to: [30-Jan-2023 Shift 1]

Logarithms

Section: Mathematics

Question : 5 of 9

Marks: +1, -0

If the solution of the equation logcos‌x‌cot‌x+4logsin‌x‌tan‌x=1,x∈(0,‌

),‌‌ is sin‌−1(‌

α+√β

), where α,β are integers, then α+β is equal to:

[30-Jan-2023 Shift 1]

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