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If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^...

If `0 < x <1,` then `sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)` is equal to

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ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. about to only mathematics

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  6. Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3))...

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  7. Prove that costan^(-1)sincot^(-1)x=sqrt((x^2+1)/(x^2+2))

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  8. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

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  11. Let (x, y) be such that sin^-1 (ax) + cos^-1 (y)+ cos^-1 (bxy)=pi/2 ...

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  13. Let (x, y) be such that sin^-1 (ax) + cos^-1 (y)+ cos^-1 (bxy)=pi/2 ...

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  14. 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. Let f(x)=|1+sin^2x cos^2x4sin2xsin^2\ \ x1+cos^2x4sin2xsin^2xcos^2x1...

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  19. If cot(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)(xsqrt(6))),\ x!=0, then possi...

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