The interval for which ^ - 1 x + ^ - 1 x = 2 holds - Vidyadip

MCQ

The interval for which ${\sin ^{ - 1}}\sqrt x + {\cos ^{ - 1}}\sqrt x = \frac{\pi }{2}$ holds

A
$[0,\;\infty )$
B
$[0,\;3]$
✓
$[0, 1]$
D
$[0, 2]$

✓

Answer

Correct option: C.

$[0, 1]$

c
(c) ${\sin ^{ - 1}}\sqrt x + {\cos ^{ - 1}}\sqrt x = \frac{\pi }{2}$ holds $x \in[0,1].$

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