If and lies in the first quadrant

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

Problem

If sin⁡θ=35\sin \theta=\dfrac{3}{5} and θ\theta lies in the first quadrant, find the value of 1−sin⁡2θsin⁡θcos⁡θ\displaystyle \frac{1 - \sin^{2}\theta}{\sin \theta \cos \theta}. (a) 53\dfrac{5}{3} (b) 34\dfrac{3}{4} (c) 43\dfrac{4}{3} (d) 56\dfrac{5}{6}

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