If sin^ -1 , = sin^ -1 (sin ,5) then is - Vidyadip

MCQ

If $sin^{-1}\,\theta = sin^{-1}(sin\,5)$ then $\theta $ is

A
$sin\, (5 -\pi )$
B
$sin\, (2\pi -5)$
✓
$sin\, (5 -2\pi )$
D
None

✓

Answer

Correct option: C.

$sin\, (5 -2\pi )$

c
$ \sin ^{-1} \theta =\sin ^{-1}(\sin 5) $

$ \sin ^{-1} \theta =5-2 \pi $

$ \theta =\sin (5-2 \pi) $

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