If $\frac{1}{2} \le x \le 1$, then ${\sin ^{ - 1}}\left( {3x - 4{x^3}} \right)$ equals

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

1 of 1

Application +4 | -1

\frac{1}{2} \le x \le 1

, then

{\sin ^{ - 1}}\left( {3x - 4{x^3}} \right)

equals

View answer and explanation

Correct option: B

\pi - 3{\sin ^{ - 1}}x

Option B (

\pi - 3{\sin ^{ - 1}}x

) is correct because it is the correct simplification of the given expression within the specified range of x, using trigonometric identities.

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