If $ x=\sin ^{-1}(\sin 10) $ and $ y=\cos ^{-1}(\cos 10) $, then $ y-x $ is equal to:

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

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Analyzing +4 | -1

x=\sin ^{-1}(\sin 10)

and

y=\cos ^{-1}(\cos 10)

, then

y-x

is equal to:

View answer and explanation

Correct option: D

\pi

Option D (

\pi

) is correct because, after finding the correct ranges for the inverse trigonometric functions, the difference y-x simplifies to

\pi

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