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The least and the greatest values of (si...

The least and the greatest values of `(sin^(-1)x)^3+(cos^(-1)x)^3` are (a)`(-pi)/2,pi/2` (b) `(-pi^3)/8,(pi^3)/8` (c)`(pi^3)/(32),(7pi^3)/8` (d) none of these

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. The value of x for which "sin"(cot^(-1)(1+x))="cos"(tan^(-1)x) is (a)1...

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  3. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are ...

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

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

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

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  7. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

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

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

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

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  11. If we consider only the principal values then the value inverse trigon...

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  12. The number of real solution of the equation sqrt(1+cos2x)=sqrt2 sin^(-...

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

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  14. If |cos^(-1)((1-x^2)/(1+x^2))|<pi/3,t h e n

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

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  16. If 2^((2pi)/sin^(-1)x)-2(a+2)^(pi/sin^(-1)x)+8a<0 for at least one re...

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

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  18. 2tan^(-1)(-2) is equal to (a)-cos t^(-1)((-3)/5) (b) -pi+cos^(-1)3...

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

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  20. Prove that : cos [ tan^(-1) { sin (cot^(-1) x)}]= sqrt((x^2 +1)/(...

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