A) \[-\sqrt{\frac{24}{25}}\]
B) \[\sqrt{\frac{24}{25}}\]
C) \[-\frac{1}{5}\]
D) \[\frac{1}{5}\]
Correct Answer: C
Solution :
The given expression is equal to \[\cos ({{\cos }^{-1}}x+{{\sin }^{-1}}x+{{\sin }^{-1}}x)\] \[=\cos \left( \frac{\pi }{2}+{{\sin }^{-1}}x \right)=-\sin ({{\sin }^{-1}}x)=-x=-\frac{1}{5}\] \[[\text{Using}{{\cos }^{-1}}x+{{\sin }^{-1}}x=\frac{\pi }{2}]\]You need to login to perform this action.
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