If A = sin θ sin θ , B = cos θ cos θ and 99 π 2 ≤ θ ≤ 100 π 2 , then

Question

If A = sin θ sin θ , B = cos θ cos θ and 99 π 2 ≤ θ ≤ 100 π 2 , then, A + B = 1, A + B = - 1, B - A = 1, B - A = - 1

MARKS App · Accepted Answer

Given, A = sin θ sin θ , B = cos θ cos θ and 99 π 2 ≤ θ ≤ 100 π 2 Here θ is in 4 th the quadrant. So A = sin θ - sin θ = - sin 2 θ & B = cos θ cos θ = cos 2 θ ⇒ B - A = cos 2 θ + sin 2 θ = 1

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