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Write the following function in the simp...

Write the following function in the simplest form : `tan^-1 ((3a^2 x - x^3)/(a^3 - 3ax^2)), a>0, -a/sqrt3

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Express the following functions in the simplest form : tan^-1 ((3a^2 x - x^3)/(a^3 - 3ax^2)), a > 0, |x| < a/sqrt3

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Write the following function in the simplest form: tan -1 ((cosx - sin...

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

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

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

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

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

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  7. If 'sin(sin^-1(1/5) + cos^-1x)=1, then find the value of 'x'

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

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  9. Find the values of each of the expressions sin^-1(sin((2pi)/3))

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  10. Find the value of the following tan^-1(tan(3pi)/4)

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  11. Find the values of each of the expressions tan(sin^-1(3/5) + cot^-1(...

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  12. cos^(-1)(cos""(7pi)/(6)) is equal to

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  13. Find the value of each of the following:

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  14. sin(pi/3 - sin^-1(-1/2)) is equal to

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

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  16. Find the value of cos^-1 ( cos 10)

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

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

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  19. Prove that : sin^-1(8/17) + sin^-1(3/5) = sin^-1(77/85)

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  20. Prove that : cos^-1 (4/5) + cos^-1(12/13) = cos^-1 (33/65)

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