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tan(cos^-1 x) is equal to...

`tan(cos^-1 x)` is equal to

A

`sqrt(1-x^(2))/(x)`

B

`(x)/(1+x^(2))`

C

`sqrt(1+x^(2))/(x)`

D

`sqrt(1-x^(2))`

Text Solution

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The correct Answer is:
A
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. If"sin"{cot^(-1)(x+1)}="cos"(tan^(-1)x), then find xdot

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  2. cos(tan^(-1)x)=

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  3. tan(cos^-1 x) is equal to

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  4. cos(tan^(-1)(3/4)) =

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  5. Find the value of cos^(-1)((x)/(2)+(sqrt(3-3x^(2)))/(2))

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  6. Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3))...

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  7. The value of 2(cot^- 1)1/2-(cot^- 1)4/3 is

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  8. Find the value of tan^-1(1/2tan2A)+tan^-1(cotA)+tan^-1(cot^3A)

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  9. cos^(-1)(15/17)+2 tan^(-1)(1/5)=

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  10. सिद्ध कीजिए कि tan[cos^(-1)""((4)/(5))+tan^(-1)""((2)/(3))]=(17)/(6)

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  11. If cot(cos^(-1)x)=sec{tan^(-1)(a)/sqrt(b^(2)-a^(-2))} then x equals

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  12. Value of tan^(- 1){sin(cos^(- 1)sqrt(2/3))} is

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  13. The number of solutions of the equation 2cos(e^x) =5^x +5^(-x), are

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  14. The value of theta lying between theta=0 and theta=pi/2 and satisfyin...

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  15. If ((x+1)^(2))/(x^(3)+x)=(A)/(x)+(Bx+C)/(x^(2)+1), then cosec^(-1)((...

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  16. The number of points of intersection of 2y=1andy=sinx,"in "-2pilexle2p...

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  17. If in a triangle ABC, a=5, b=4 and A=pi/2 +B, then the value of tan ""...

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  18. If x=sin^(-1)K,y=cos^(-1)K,-1leKle1, then the correct relationship is

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  19. If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and ...

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  20. If (1)/(6)sintheta,costhetaandtantheta are in geometric progression, t...

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