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The value of the expression sin^(-1)(sin...

The value of the expression `sin^(-1)(sin(22pi)/7)+cos^(-1)(cos(5pi)/3)+tan^(-1)(tan(5pi)/7)+sin^(-1)(cos2)` is (a) `(17pi)/(42)-2` (b) `-2` (c)`(-pi)/(21)-2` (d) `non eoft h e s e`

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To solve the expression \( \sin^{-1}(\sin(22\pi/7)) + \cos^{-1}(\cos(5\pi/3)) + \tan^{-1}(\tan(5\pi/7)) + \sin^{-1}(\cos(2)) \), we will simplify each term step by step. ### Step 1: Simplifying \( \sin^{-1}(\sin(22\pi/7)) \) First, we need to find the equivalent angle of \( 22\pi/7 \) within the range of \( [-\pi/2, \pi/2] \). \[ 22\pi/7 = 3\pi + \frac{1}{7}\pi ...
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