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Question
Proved that cosec2(90° - θ) - tan2 θ = cos2(90° - θ) + cos2 θ.
Solution
LHS = cosec2(90° - θ) - tan2 θ
LHS = sec2 θ - tan2 θ = 1
RHS = cos2(90° - θ) + cos2 θ
RHS = sin2θ + cos2 θ = 1
Hence, LHS = RHS
Hence proved.
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