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"tan"(cos^(-1)x) is equal to x/(1+x^2) b...

`"tan"(cos^(-1)x)` is equal to `x/(1+x^2)` b. `(sqrt(1+x^2))/x` c.`(sqrt(1-x^2))/x` d. `sqrt(1-2x)`

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Differential coefficient of sec(tan^(-1)x) is (a) x/(1+x^2) (b) xsqrt(1+x^2) (c) 1/(sqrt(1+x^2)) (d) x/(sqrt(1+x^2))

d/(dx)[cos^(-1)(xsqrt(x)-sqrt((1-x)(1-x^2)))]= 1/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) (-1)/(sqrt(1-x^2))-1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2))+1/(2sqrt(x-x^2)) 1/(sqrt(1-x^2)) 0 b. 1//4 c. -1//4 d. none of these

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Solve the equations. sin(tan^(-1)x),|x|<1 (A) x/(sqrt(1-x^2)) (B) 1/(sqrt(1-x^2)) (C) 1/(sqrt(1+x^2)) (D) x/(sqrt(1+x^2))

int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1))/(x^3)+C (b) (sqrt(2x^4-2x^2+1))/x+C (c) (sqrt(2x^4-2x^2+1))/(x^2)+C (d) (sqrt(2x^4-2x^2+1))/(2x^2)+C

if f:[1,oo)->[2,oo) is given by f(x)=x+1/x then f^-1(x) equals to : a) (x+sqrt(x^2-4))/2 b) x/(1+x^2) c) (x-sqrt(x^2-4))/2 d) 1+sqrt(x^2-4)

The value of integral inte^x(1/(sqrt(1+x^2))+(1-2x^2)/(sqrt((1+x^2)^5)))dx is equal to (a)e^x(1/(sqrt(1+x^2))+x/(sqrt((1+x^2)^3)))+c (b)e^x(1/(sqrt(1+x^2))-x/(sqrt((1+x^2)^3)))+c (c)e^x(1/(sqrt(1+x^2))+x/(sqrt((1+x^2)^5)))+c (d)none of these

If -1< x < 0 , then cos^(-1)x is equal to (a) sec^(-1)(1/ x) (b) pi-sin^(-1)sqrt(1+x^2) (c) pi+tan^(-1)(x/(sqrt(1-x^2))) (d) cot^(-1)(x/(sqrt(1-x^2))) .

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  3. "tan"(cos^(-1)x) is equal to x/(1+x^2) b. (sqrt(1+x^2))/x c.(sqrt(1-x^...

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  4. If x=2cos^(-1)(1/2)+sin^(-1)(1/(sqrt(2)))+tan^(-1)(sqrt(3))\ a n d\ y=...

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  5. If x = tan^(-1) 1 - cos^(-1) ( - 1/2) + sin^(-1) 1/2 , y = cos (1/2 c...

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  6. If sin^-1x+ cot^-1 (1/2)= pi/2 then x is (A) 0 (B) 1/sqrt(5) (C) 2/sqr...

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  7. If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a.1/sqrt(5)...

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  8. sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is true if x in [0,\ 1]\ b. [-1/(...

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  9. Domain of the explicit from of the function y represented implicity by...

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  10. If cos^(-1) x - cos^(-1).(y)/(2) = alpha, then 4x^(2) - 4xy cos alpha ...

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  11. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+x y z=0 x^...

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  12. The solution of the inequality (tan^(-1)x)^2-3tan^(-1)x+2geq0 is- a.(-...

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  13. The value of sin\ (1/2cot^(-1)(-3/4))+cos(1/2cot^(-1)(-3/4)) is/are eq...

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  14. For the equation 2x=tan(2tan^(-1)a)+2 t a n(tan^(-1)a+tan^(-1)a^3) , w...

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  15. Which of the following pairs of function/functions has same graph? y=...

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

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

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  18. If 0ltxlt1, then "tan"^(-1)(sqrt(1-x^(2)))/(1+x) is equal to

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

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  20. Value of k for which the point (alpha,sin^(-1)alpha)(alpha>0) lies ins...

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