Prove the following

Question:

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

  1. $\pi$

  2. $7 \pi$

  3. 0

  4. 10


Correct Option: 1,

Solution:

$y=\cos ^{-1}(\cos 10)=4 \pi-10$

$y-x=\pi$

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