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If cos^(-1).((1)/(x))=theta, then tanthe...

If `cos^(-1).((1)/(x))=theta`, then `tantheta`=

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
  1. Solve y=tan^(-1)((sqrt(1+x^2)-1)/x)

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  2. sin^(-1)[x sqrt(1-x) - sqrtx sqrt(1-x^2)]=

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  3. If cos^(-1).((1)/(x))=theta, then tantheta=

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  4. If: sin(sin^(-1)1/5 + cos^(-1)x)=1, then: x=

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  5. Find the value of sin^(-1)x+sin^(-1)1/x+cos^(-1)x+cos^(-1)1/xdot

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  6. If sin^(-1)x=pi/5,forsom ex in (-1,1), then find the value of cos^(-1)...

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  7. If x>=0and theta=sin^-1x+cos^-1x-tan^-1x, then

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  8. If (tan^-1x)^2 + (cot^-1x)^2 =(5 pi^2)/8 then x equals :

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  9. cos(tan^(-1)((1)/(3))+tan^(-1)((1)/(2)))=

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  10. cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)

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  11. If "tan"^(-1)(x-1)/(x-2)+"tan"^(-1)(x+1)/(x+2)=(pi)/4, find x

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  12. cot^-1[(cot)^(1/2)]+tan^-1[(cotalpha)^(1/2)=x then sin x= (A) 1 (B) co...

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  13. If tan^(-1).(a+x)/(a) + tan ^(-1) ((a-x)/(a)) = (pi)/(6) then prove th...

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  14. Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...

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  15. सिद्ध कीजिए - tan^(-1).(3)/(4)+tan^(-1).(3)/(5)-tan^(-1).(8)/(19)=(p...

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  16. If x^2 + y^2 + z^2 = r^2 and x, y, z > 0, then tan^-1((xy)/(zr))+tan...

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  17. If cj >0 for i=1,2, , n , prove that tan^(-1)((c1x-y)/(c1y+x))+tan^(-...

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  18. If a1, a2,a3, ,an is an A.P. with common difference d , then prove th...

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  19. tan[2tan^(- 1)(1/5)+pi/4]

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  20. sin[3sin^(-1)((1)/(5))] is equal to

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