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Question:
cosec^-1(cosec(-pie/4)) solve
Answer:

Let cosec-1 {cosec(-π/4)} = x

=> cosec(-π/4) = cosec x

=> -cosec(π/4) = cosec x

=> -√2 = cosec x

=> x = cosec-1 {-√2}

=> x = -cosec-1 {√2}

=> x = -π/4

So, cosec-1 {cosec(-π/4)} = -π/4

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