The function y = a(1 - x) is maximum when x = - Vidyadip

MCQ

The function $y = a(1 - \cos x)$ is maximum when $x = $

✓
$\pi $
B
$\pi /2$
C
$ - \pi /2$
D
$ - \pi /6$

✓

Answer

Correct option: A.

$\pi $

a
(a) $y = a\,(1 - \cos x)$==>$y' = a\sin x$

==> $y' = 0 \Rightarrow \sin x = 0$ ==> $x = 0,\,\pi $

Now $y'' = a\cos x$ ==> $y''(0) = a$ and $y''(\pi ) = - a$

Hence $y$ is maximum when $x = \pi $.

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