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please show all work prove the identities e) tan (/4 + ) - tan (/4-) = 2tan2 f) 2sin2 (/2-) = 1-sin(2)

please show all work

prove the identities

e) tan (π/4 + θ) - tan (π/4-θ) = 2tan2θ

f) 2sin2 (π/2-θ) = 1-sin(2θ)

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