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If alpha in (-(3pi)/2,-pi) , then the va...

If `alpha in (-(3pi)/2,-pi)` , then the value of `tan^(-1)(cotalpha)-cot^(-1)(tanalpha)+sin^(-1)(sinalpha)+cos^(-1)(cosalpha)` is equal to (a) `2pi+alpha` (b) `pi+alpha` (c) 0 (d) `pi-alpha`

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