Q. 74.7( 3 Votes )

Prove that if <sp

Answer :

To prove:



Let x = cos θ


θ = cos-1x


For x = 1/2, θ = 60° and for x = 1, θ = 0°


Hence as 1/2 ≤ x ≤ 1 then 0° ≤ θ ≤ 60°


The LHS will become




Now 1 – cos2θ = sin2θ



We know that and



We know that cos (A – B) = cos A cos B + sin A sin B





Hence proved


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