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  4. cos [Sin-1 ( -4/5) - Cos-1 (4/5)] = ....

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Q. $cos [Sin^{-1} ( -4/5) - Cos^{-1} (4/5)] = ....$

Inverse Trigonometric Functions

Solution:

$\sin^{-1} \left(- \frac{4}{5}\right) = - \sin^{-1} \frac{4}{5} $