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

The trigonometric equation `sin^(-1)x=2sin^(-1)a` has a solution for all real values (b) `|a|<1/a` `|a|lt=1/(sqrt(2))` (d) `1/2<|a|<1/(sqrt(2))`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  15. Let (x, y) be such that sin^-1 (ax) + cos^-1 (bxy)=pi/2 If a=1 an...

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  16. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

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  18. (1/y^2 \ ((cos(tan^(-1) y) + y sin(tan^(-1) y))/(cot(sin^(-1) y) + tan...

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  19. lf cos x + cosy-cos z = 0 = sin x + sin y + sin z then cos((x-y)/2)=

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