Prove that:
sin(90°-θ)cos(90°-θ)=tanθ/1+tan²θ
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Step-by-step explanation:
hey dear here is ur ans:)
LHS = sin(90°-theta) × cos(90°- theta)
= cos theta × sin theta
= sin theta × cos theta
RHS = tan theta / 1 + tan^2 theta
= tan theta / sec^2 theta
= (sin theta / cos theta) × cos^2 theta
= sin theta × cos theta
Hence, LHS = RHS
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