Proved that Cosec2(90° - θ) - Tan2 θ = Cos2(90° - θ) + Cos2 θ.

Proved that cosec²(90° - θ) - tan² θ = cos²(90° - θ) + cos² θ.

Sum

LHS = cosec²(90° - θ) - tan² θ

LHS = sec²θ - tan² θ = 1

RHS = cos²(90° - θ) + cos² θ

RHS = sin²θ + cos² θ = 1

Hence, LHS = RHS

Hence proved.

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