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Prove that 2cos^(-1)x=sin^(-1)(2xsqrt(1-...

Prove that `2cos^(-1)x=sin^(-1)(2xsqrt(1-x^2))`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the range of f(X) =sin^(-1)x-cot^(-1)x+x^(2)+2x+6

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  2. Find the value of 2cos^(-1)3/(sqrt(13))+cot^(-1)(16)/(63)+1/2cos^(-1)7...

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  3. Prove that 2cos^(-1)x=sin^(-1)(2xsqrt(1-x^2))

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  4. Sove 2 cos^(-1) x = sin^(-1) (2 x sqrt(1 - x^(2)))

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  5. Find the domain for f(x)=sin^(-1)((1+x^2)/(2x))

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  6. Find the range of f(x)=cot^(-1)(2x-x^2)dot

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  7. Find the set of values of parameter a so that the equation (sin^(-1)x)...

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  8. Solve the equation sqrt(|s in^(-1)|"cos"||+|cos^1|sinx||)=sin^(-1)|cos...

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  9. Ifp > q >0a n dp r<-1<q r , then find the value of tan^(-1)(p-q)/(1+p ...

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  10. tan^(-1)((1)/(4))+tan^(-1)((2)/(11))=

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  11. Find the number of positive integral solution of the equation tan^(-1)...

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  12. If tan^(-1)y=4tan^(-1)x(|x|<tanpi/8) , find y as an algebraic function...

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  13. Find the sum cos e c^(-1)sqrt(10)+cos e c^(-1)sqrt(50)+cos e c^(-1)sqr...

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  14. Let f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-1)x+tan^(-1)xdot Then find the...

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  15. Find the principal value of the following: (i) cosec^(-1)(2) (ii) ta...

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  16. Solver sin^(-1) x gt -1

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  17. Solve cos^(-1)x >cos^(-1)x^2

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  18. Solve for x if (cot^(-1)x)^2-3(cot^(-1)x)+2>0

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  19. Find the value of x for which the following expression are defined (...

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  20. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

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