JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

\cos x=\tan y, \cot y=\tan z

and

\cot z=\tan x

, then

\sin x

is equal to

View answer and explanation

Correct option: D

\frac{\sqrt{5}-1}{2}

Option D (

\frac{\sqrt{5}-1}{2}

) is correct because substituting the given relations leads to a quadratic equation in

\sin x

, and solving it yields this value as the valid solution.

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\mathrm{X}

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