Q.

If sin⁡sin−1⁡15+cos−1⁡x=1, then x is equal to

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a

1

b

0

c

4/5

d

1/5

answer is D.

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Detailed Solution

We have,  sin⁡sin−1⁡1/5+cos−1⁡x=1⇒ sin−1⁡15+cos−1⁡x=π2⇒ sin−1⁡15=π2−cos−1⁡x⇒sin−1⁡15=sin−1⁡x⇒x=15
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