The trigonometric equation sin^(-1)x=2si...

The trigonometric equation `sin^(-1)x=2sin^(-1)a` has a solution for all real values

A

(a) `|a|gt(1)/sqrt(2)`

B

(b) `(1)/(2sqrt(2))lt|a|lt(1)/sqrt(2)`

C

(c) `|a|gt(1)/(2sqrt(2))`

D

(d) `|a|le(1)/(2sqrt(2))`

Verified by Experts

The correct Answer is:

D

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