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Question
If `cosθ=1/sqrt(2)`, where θ is an acute angle, then find the value of sinθ.
Solution
`cosθ=1/sqrt(2)`
`cos^2theta=(1/sqrt2)^2=1/2`
`cos^2theta+ sin^2theta=1`
`1/2+sin^2theta=1`
`sin^2theta=1-1/2=1/2`
`sintheta=sqrt(1/2)=1/sqrt2`
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