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Which of the following quantities is/are...

Which of the following quantities is/are positive? (a)`"cos"(tan^(-1)(t a n4))` (b) `"sin"(cot^(-1)(cot4))` `"tan"(cos^(-1)(cos5))` (d) `"cot"(sin^(-1)(sin4))`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

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

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

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

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

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

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

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

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

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

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

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  13. 2tan^(-1)(-2) is equal to (a)-cos t^(-1)((-3)/5) (b) -pi+cos^(-1)3...

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

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

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

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  17. Find the range of y=(cot^(-1)x)(cot^(-1)(-x))dot

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  18. If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

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  19. If 1/(sqrt(2))<x<1 then prove that cos^(-1)x+cos^(-1)((x+sqrt(1-x^2))/...

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  20. Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/2}=pi/4+(cos^(-1)x)/2,""0 <...

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