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

If `0 lt x lt 1`, then `sqrt(1+x^2)[{xcos(cos^-1x)+sin(cot^-1x)}^2-1]^(1//2)` =

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The greatest and least values of (sin^-1x)^3+(cos^-1x)^3 are

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  2. sin{2(sin^(-1)(sqrt(5))/3-cos^(-1)(sqrt(5))/3)} is equal to (ksqrt(5)...

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

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  4. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

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  5. The number of solution of the equation tan^-1 sqrt(x(x+1)) + sin^-1sqr...

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  6. Which of the following quantities is/are positive ? a.cos (tan^(-1) (t...

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  7. Which of the following is/are a rational number? a. sin(tan^(-1)3+tan...

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  8. If sin^-1(x - x^2/2 + x^3/4 - ..... infty) + cos^-1 (x^2 - x^4/2 + x^6...

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  9. If we consider only the principal values of the inverse trigonometric ...

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  10. The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...

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  11. The solution set of the equation sin^(-1) sqrt(1 - x^(2)) + cos^(-1)...

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  12. If |cos^(-1)((1-x^2)/(1+x^2))| < pi/3,t h e n (a) x in [-1/3,1/(sqrt(...

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  13. The equation 3cos^(-1)x-pix-pi/2=0 has one negative solution, one posi...

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  14. If alpha,beta(alpha < beta) are the roots of equation 6x^2+11x+3="0 , ...

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  15. If 2^(2pi//sin^(-1)x) - 2 (a + 2) 2^(pi//sin^(-1)x) + 8a lt 0 for at l...

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  16. Which of the following is/are the value of "cos"[1/2cos^(-1)(cos(-(14p...

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  17. 2tan^(-1)(-2) is equal to (a)-cos^(-1)((-3)/5) (b) -pi+cos^(-1)3/5 (...

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  18. If the equation sin^(-1)(x^2+x+1)+cos^(-1)(lambda x+1)=pi/2 has exactl...

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

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  20. Find the minimum value of the function f(x)=(pi^2)/(16cot^(-1)(-x))-co...

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