Is a trapezium such that and

MATHEMATICS · Single correct · CBSE · Mathematics · Introduction to Trigonometry · Introduction to Trigonometry

Problem

ABCDABCD is a trapezium such that AB∥CDAB\parallel CD and BC⊥CDBC\perp CD. If ∠ADB=θ\angle ADB=\theta, BC=pBC=p, and CD=qCD=q, then ABAB is equal to (1) (p2+q2)sin⁡θpcos⁡θ+qsin⁡θ\frac{(p^2+q^2)\sin\theta}{p\cos\theta+q\sin\theta} (2) p2+q2cos⁡θpcos⁡θ+qsin⁡θ\frac{p^2+q^2\cos\theta}{p\cos\theta+q\sin\theta} (3) p2+q2p2cos⁡θ+q2sin⁡θ\frac{p^2+q^2}{p^2\cos\theta+q^2\sin\theta} (4) (p2+q2)sin⁡θ(pcos⁡θ+qsin⁡θ)2\frac{(p^2+q^2)\sin\theta}{(p\cos\theta+q\sin\theta)^2}

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