Prove that Sec2 (90° - θ) + Tan2 (90° - θ) = 1 + 2 Cot2 θ. - Mathematics

Prove that sec² (90° - θ) + tan² (90° - θ) = 1 + 2 cot² θ.

Sum

LHS = sec² (90° - θ) + tan² (90° - θ)

= cosec²θ + cot²θ

= 1 + cot²θ + cot²θ

= 1 + 2cot²θ

= RHS
Hence proved.

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