A) 1
B) 4
C) 2
D) 3
Correct Answer: A
Solution :
Given equation is \[{{\sin }^{-1}}x=2{{\tan }^{-1}}x\] Now, this equation has only one solutioin. \[\therefore \] \[LHS={{\sin }^{-1}}1=\frac{\pi }{2}\] and \[RHS=2{{\tan }^{-1}}1=2\times \frac{\pi }{4}=\frac{\pi }{2}\] Also, \[x=1\]gives angle value as \[\frac{\pi }{4}\]and \[\frac{5\pi }{4}\] \[\frac{5\pi }{4}\]is outside the principal value.You need to login to perform this action.
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