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tan^-1(frac{1}{sqrt3}) - sin^-1(frac{1}{...

`tan^-1(frac{1}{sqrt3})` - `sin^-1(frac{1}{2})` is equal to :

A

`π/4`

B

`π/3`

C

`-π/4`

D

`-π/3`

Text Solution

Verified by Experts

The correct Answer is:
C
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JMD PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXAMPLE
  1. Principal value of cos^-1 (-frac{1}{2}) is :

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  2. Select the correct answer : cos^-1 (1/2) +2sin^-1(1/2)

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  3. tan^-1(frac{1}{sqrt3}) - sin^-1(frac{1}{2}) is equal to :

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  4. Select the correct answer :sin^-1(sin2π/3)

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  5. Select the correct answer :sin(cos^-1x) =

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  6. Range of function tan^-1 x is :

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  7. Domain of the function f (x) = sin^-1 x is equal to :

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  8. Principal value of cos^-1 (-frac{1}{2}) is :

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  9. Find the value of tan(sin^-1 frac{3}{5} + cot^-1 frac{3}{2}).

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  10. Principal value of cos^-1 (-frac{1}{2}) is :

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  11. Find dy/dx when: y= tan^-1((2x)/(1-x^2))

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  12. Prove that tan^(-1)sqrtx = 1/2cos^(-1) ((1-x)/(1+x)), x in [0,1]

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  13. Prove that sqrt((1+sinA)/(1-sinA))=(1+sinA)/cosA .

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  14. Show that : tan^-1 frac{1}{3} + tan^-1 frac{1}{5}=frac{1}{2} cos^-1 fr...

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  15. Prove that : tan^(-1) (1) + tan ^-1 (2) + tan^(-1) (3) = pi1

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  16. Solve the 2 tan^-1 (cos x) = tan^-1 (2 cosec x).

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  17. Show that: tan^-1 (frac {1-x}{1+x})= frac {1}{2} tan^-1(frac{1-x^2}{2x...

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  18. Prove that : 2 tan^-1 frac{1}{5} + tan^-1 frac{1}{8}= tan^-1 frac{4}{7...

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  19. Prove that : tan^-1[(sqrt(1+x) - sqrt(1-x))/(sqrt1+x + sqrt1-x)] = pi/...

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  20. Find the value 2 tan^(-1)(1/5) + sec^(-1) ((5sqrt2)/7)+ 2tan^(-1)(1/8)

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