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Question

If tan(π4+θ)×tan(3π4+θ)=m. Find m

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Solution

tan(π4+θ)tan(3π4+θ)

=tan(π4)+tanθ1tanθtanπ4tan3π4+tanθ1tan3π4tanθ

=1+tanθ1tanθ1+tanθ1+tanθ

=(1tanθ)1tanθ

=1.

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