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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