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  4. If sin -1 sin 17+ cos -1 cos 27+ tan -1 tan 37 is equal to k -λ π then find k +λ

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Q. If $\sin ^{-1} \sin 17+\cos ^{-1} \cos 27+\tan ^{-1} \tan 37$ is equal to $k -\lambda \pi$ then find $k +\lambda$

Inverse Trigonometric Functions

Solution:

$\sin ^{-1} \sin 17=5 \pi-17$
$\cos ^{-1} \cos 27=27-8 \pi$
$\tan^{-1} \tan 37=37-12 \pi$
$=47-15 \pi$