Let and for . On which of the following intervals of is decreasing as…

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

Problem

Let

x=\sin t

and

y=\cos t

for

0<t<2\pi

. On which of the following intervals of

t

is

y

decreasing as

x

increases? (a)

(0,\tfrac{\pi}{2})

(b)

(\pi,2\pi)

(c)

(0,\tfrac{\pi}{2})\cup(\pi,\tfrac{3\pi}{2})

(d)

(\tfrac{\pi}{2},\pi)\cup(\tfrac{3\pi}{2},2\pi)

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