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If sin(sin^(-1)(1/5)+cos^(-1)x)=1, then ...

If `sin(sin^(-1)(1/5)+cos^(-1)x)=1`, then find the value of x.

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`sin(sin^(-1).(1)/(5) + cos^(-1)x) =1`
or `sin^(-1).(1)/(5) + cos^(-1) x = (pi)/(2)`
or `sin^(-1). (1)/(5) = (pi)/(2) - cos^(-1) x`
or `sin^(-1).(1)/(5) = sin^(-1) x`
or or `x = (1)/(5)`
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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  4. Solve sin^(-1)xlt=cos^(-1)xdot

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