If $\cos ^{-1} x-\sin ^{-1} x=0$, then $x$ is equal to

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1

\cos ^{-1} x-\sin ^{-1} x=0

, then

x

is equal to

View answer and explanation

Correct option: C

\frac{1}{\sqrt{2}}

Option C (

\frac{{1}}{{\sqrt{{2}}}}

) is correct because it is the value of x that satisfies the equation

\cos^{-1} x - \sin^{-1} x = 0

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