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Question: cos<sup>–1</sup>cos\(\frac{67\pi}{29}\) + sin<sup>–1</sup>sin \(\frac{84\pi}{58}\) + tan<sup>–1</sup...

cos–1cos67π29\frac{67\pi}{29} + sin–1sin 84π58\frac{84\pi}{58} + tan–1tan 33π29\frac{33\pi}{29}=

A

2158\frac{21}{58}– 6p

B

2 – 2p

C

6p – 84

D

None of these

Answer

None of these

Explanation

Solution

cos–1 cos 67π29\frac{67\pi}{29} = 67π29\frac{67\pi}{29}– 2p

sin–1sin 84π58\frac{84\pi}{58} = 1p – 84π58\frac{84\pi}{58}

tan–1tan 33π29\frac{33\pi}{29} = 33π29\frac{33\pi}{29}– 1p

̃ 134π–116π–84π+66π58\frac{134\pi –116\pi –84\pi + 66\pi}{58} = 0