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Prove that sin^(-1) (3/5) +cos^(-1) (15/...

Prove that `sin^(-1) (3/5) +cos^(-1) (15/17)+ sin^(-1) (36/85)=pi/2`

Text Solution

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`cos^(-1)15/17+sin^(-1)(3/5sqrt(1-(36/85)^2)+sqrt(1-(3/5)^2)*36/85)`
`cos^(-1)15/17+sin^(-1)(3/5*77/85+4/5*36/85)`
`cos^(-1)(15/17)+sin^(-1)(375/425)`
`cos^(-1)(15/17)+sin^(-1)(15/17)=pi/2`
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