The angle made by the tangent to the curve

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The angle made by the tangent to the curve x=a(t+sin⁡tcos⁡t)x=a(t+\sin t\cos t), y=a(1+sin⁡t)2y=a(1+\sin t)^2 with the xx-axis at any point on it is (a) 14(π+2t)\dfrac{1}{4}(\pi+2t) (b) 1−sin⁡tcos⁡t\dfrac{1-\sin t}{\cos t} (c) 14(2t−π)\dfrac{1}{4}(2t-\pi) (d) 1+sin⁡tcos⁡2t\dfrac{1+\sin t}{\cos 2t}

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