Trigonometric identities, derivation, sin²θ+cos²θ=1, sec²θ-tan²θ=1, cosec²θ-cot²θ=1

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Trigonometric identities, derivation, sin^2+cos^2=1, sec^2-tan^2=1, cosec^2-cot^2=1
If A,B and C are interior angles of a triangle ABC then show that tan(A+B)/2 = cot(c/2)
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Trigonometric identities