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Evaluate: sin [ cos^-1 (3/5) + cosec^-1(13/5)]

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Solution: $sin[cos^-1(3/5)+cosec^-1(13/5)]$

$Rightarrow$ $sin (cos^-13/5)cdot cos (cosec^-113/5)+cos (cos^-13/5)cdot sin (cosec^-113/5)$

$Rightarrow$ $sin (sin^-14/5)cdot cos(cos^-112/13)+cos (cos^-13/5)cdot sin (sin^-15/13)$

$Rightarrow$ $4/5 imes 12/13+3/5 imes 5/13=63/65$

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Deependra Verma

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