The curve ( ) has a vertical tangent when

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The curve x=sin⁡t,  y=cos⁡tx=\sin t,\; y=\cos t (0≤t<2π0\le t<2\pi) has a vertical tangent when (a) t=0 or πt=0\text{ or }\pi (b) t=π4 or 5π4t=\dfrac{\pi}{4}\text{ or }\dfrac{5\pi}{4} (c) t=π2 or 3π2t=\dfrac{\pi}{2}\text{ or }\dfrac{3\pi}{2} (d) t=3π4 or 7π4t=\dfrac{3\pi}{4}\text{ or }\dfrac{7\pi}{4}

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