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Write the following function in the simp...

Write the following function in the simplest form : `tan^-1 (1/sqrt(x^2-1)), |x|>1`

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PSEB-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise
  1. Write the following function in the simplest form: tan^-1 ((sqrt(1+cos...

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  2. Write the following function in the simplest form: tan^-1 ((sqrt(1+x^2...

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  3. Write the following function in the simplest form : tan^-1 (1/sqrt(x^2...

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  4. Write the following function in the simplest form: tan -1 ((cosx - sin...

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  5. Write the following function in the simplest form: tan^-1 (x/sqrt(a^2 ...

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  6. Write the following function in the simplest form : tan^-1 ((3a^2 x - ...

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  7. Find the value of the following: tan^-1[2 cos(2sin^-1(1/2))]

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  8. Find the value of the following: cot (tan^-1 a + cot^-1 a)

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  9. Find the value of the following: tan1/2[sin^-1(2x/(1+x^2)) + cos^-1(1-...

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  10. If sin(sin^–1(1/5) + cos^–1x) =1, then find the value of x.

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

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  12. The value of sin^-1 (sin (2π/3)) is :

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  13. The value of tan^-1 (tan (3π/4)) is :

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

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  15. cos^-1 (cos frac{7pi}{6}) is equal to :

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

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  17. tan^-1 (sqrt3) -cot^-1 (-sqrt3) is equal to :

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  18. cos^-1 (cos 13 pi/6) is :

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  19. Find the value of the following: tan^-1(tan(7pi/6))

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  20. Prove that : 2sin^-1 (3/5) = tan^-1 (24/7)

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