If the tangent and normal to the curve are drawn at

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

If the tangent and normal to the curve y=2sin⁡x+sin⁡2xy=2\sin x+\sin2x are drawn at P(x=π3)P\left(x=\frac{\pi}{3}\right), then the area of the quadrilateral formed by the tangent, the normal at PP, and the coordinate axes is (1) π3\frac{\pi}{3} (2) 3π3\pi (3) π32\frac{\pi\sqrt{3}}{2} (4) None of these

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