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Evaluate: cos[ sin^-1 1/4 +sec^-1 4/3 ]

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Solution: $cos[sin^-1(1/4)+sec^-1(4/3)]$

$Rightarrow$ $cos[sin^-11/4 +cos^-13/4]$

$Rightarrow$ $cos(sin^-11/4)cos(cos^-13/4)-sin(sin^-11/4)sin(cos^-13/4)$

$Rightarrow$ $sqrt15/4 imes 3/4-1/4 imes sqrt7/4=3sqrt15-sqrt7/16$

Posted by

Deependra Verma

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