If ${\sin ^{ - 1}}x + {\sin ^{ - 1}}\left( {1 - x} \right) = {\cos ^{ - 1}}x$, then $x$ equals

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

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Application +4 | -1

{\sin ^{ - 1}}x + {\sin ^{ - 1}}\left( {1 - x} \right) = {\cos ^{ - 1}}x

, then

x

equals

View answer and explanation

Correct option: C

0,\frac{1}{2}

Option C (

0,\frac{1}{2}

) is the correct answer because these values satisfy the given inverse trigonometric equation.

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