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The solution set of the equation sin^(-1...

The solution set of the equation `sin^(-1)x=2 tan^(-1)x` is

A

`{1,2}`

B

`{-1,2}`

C

`{-1,1,0}`

D

`{1,1//2,0}`

Text Solution

Verified by Experts

Clearly LHS of the given equation is meaningful for `x in [-1,1]` and RHS is defined for all x`x in R` So the given equation exists for `x in [-1,1]`
Now
`sin^(-1)x=2 tan^(-1)`
`rarr sin^(-1) x= sin^(-1)((2x)/(1+x^(2)))`
`rarr x^(3)=x rarr x=0,1,-1`
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OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Section I - Solved Mcqs
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  11. The solution set of the equation sin^(-1)x=2 tan^(-1)x is

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  12. If cot(cos^(-1)x)=sec{tan^(-1)((a)/sqrt(b^(2)-a^(2)))} then x equals

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  14. about to only mathematics

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  20. Let tan^(-1) y = tan^(-1) x + tan^(-1) ((2x)/(1 -x^(2))), " where " |x...

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