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Question

If sin(π4cotθ)=cos(π4tanθ) then θ=?

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Solution

sin(π4cotθ)=cos(π4tanθ)π4cotθ=π2π4tanθcotθ=2tanθ1=2tanθtan2θ
tan2θ2tanθ+1=0tanθ=1θ=π4,5π4

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