The value of cos − 1 ( cos 3 5 π ) + sin − 1 ( cos 3 5 π ) is, 2 π , 3 5 π , 3 10 π , 0

cos − 1 [ cos 3 5 π ] + sin − 1 [ 3 c o s 5 π ] = 2 π

The value of cos − 1 ( cos 3 5 π ) + sin − 1 ( cos 3 5 π ) is

Question: Answered & Verified by Expert

$\text { The value of } \cos ^{-1}\left(\cos \frac{5 \pi}{3}\right)+\sin ^{-1}\left(\cos \frac{5 \pi}{3}\right)$is

MathematicsInverse Trigonometric FunctionsJEE Main

Options:

Solution:

2992 Upvotes Verified Answer

The correct answer is: $\frac{\pi}{2}$

$\cos ^{-1}\left[\cos \frac{5 \pi}{3}\right]+\sin ^{-1}\left[\frac{\cos 5 \pi}{3}\right]=\frac{\pi}{2}$

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