JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

1 of 1

Application +4 | -1

Let

f(\theta)=\frac{\tan ^3 \theta}{1+\tan ^2 \theta}-\frac{\cot ^3 \theta}{1+\cot ^2 \theta}, 0<\theta<\frac{\pi}{4}

. Then

f(\theta)

is equal to

View answer and explanation

Correct option: C

-2 \cot (2 \theta)

Option C (

-2 \cot (2 \theta)

) is correct because the expression simplifies to

-2 \cot (2 \theta)

using trigonometric identities.

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