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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 PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Column I, Column II Range of f(x)=sin^(-1)x+cos^(-1)x+cot^(-1)xi s ,...

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

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

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  4. Solve 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 cot^(-1)(2x-x^2)

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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(|sin^(-1)| cos x|| + |cos^(-1)| sin x||) = sin...

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  9. If pgtqgt0 and prlt-1ltqr, then find the value of tan^(-1)((p-q)/(1+pq...

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  10. Prove that: tan^-1((c1x-y)/(c1y+x))+tan^-1((c2-c1)/(1+c2c1))+tan^-1((c...

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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 then prove that x^4-6x^2+1=0 when 1/y = 0 and ...

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  13. Find the sum cosec^(-1)sqrt(10)+cosec^(-1)sqrt(50)+cosec^(-1)sqrt(170)...

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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) tan^(-1) (-sqrt3) (i)...

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  16. Solve sin^(-1)x > -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 si...

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

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