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Solve sin [2 cos^(-1) { cot (2 tan^(-1) ...

Solve `sin [2 cos^(-1) { cot (2 tan^(-1) x)}]= 0`

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Solve the following equations: sin[2cos^(-1){cot(2tan^(-1)x}]=0

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Prove that: sin[cot^(-1){cos(tan^(-1)x)}]=sqrt((x^(2)+1)/(x^(2)+2))cos[tan^(^^)(-1){sin(cot^(-1)x)}]=sqrt((x^(2)+1)/(x^(2)+2))