JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1

Let

f(\theta)=\frac{\cot \theta}{1+\cot \theta}

and

\alpha+\beta=\frac{5 \pi}{4}

. Then the value of

f(\alpha) \cdot f(\beta)

View answer and explanation

Correct option: C

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Option C (

1/2

) is correct because by using the given condition

\alpha + \beta = \frac{{5\pi}}{{4}}

and trigonometric identities,

f(\alpha) \cdot f(\beta)

simplifies to

1/2

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