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Find the principle value of the followin...

Find the principle value of the following
`tan^(-1)(-sqrt3)`

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V PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. find the principle value of cos^(-1)((sqrt3)/2)

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  2. Find the principle value of the following cosec^(-1)(2)

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  3. Find the principle value of the following tan^(-1)(-sqrt3)

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  4. Find the principal values of the following cos ^(-1)(-1/2)

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  5. Find the principle value of the following tan^(-1)(-1)

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  6. Find the principle value of the following sec^(-1)(2/sqrt3)

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  7. Find the principal values of the following cot ^(-1)(sqrt3)

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  8. Find the principal values of the following cos ^(-1)(-1/sqrt2)

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  9. Find the principal values of the following cosec^(-1)(-sqrt2)

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  10. Find the values of the following tan ^(-1)(1)+cos ^(-1)(-1/2)+sin ^(-1...

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  11. Find the value of cos^(-1)(1/2)+2sin^(-1)(1/2)

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  12. If sin^(-1) x=y,then find the range of y

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  13. Find tan^(-1) sqrt3 -sec^(-1)(-2)

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  14. Prove that tan^-1 (1/2)+tan^-1(2/11)=tan^-1(3/4)

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  15. Express tan^-1(frac(cosx)(1-sinx)) in the simplest Form.

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  16. Express cot ^(-1)(1/(sqrt(x^2-1))),|x|gt1 in the simplest form.

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  17. Prove that tan ^(-1) x+tan ^(-1) ((2 x)/(1-x^2))=tan ^(-1)((3 x-x^3)/(...

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  18. Find the value of cos(sec ^(-1) x+cosec^(-1) x),|x| ge 1

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  19. Prove that 3 sin ^(-1) x = sin^(-1) (3x - 4x^3), x in [-1/2,1/2]

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  20. prove that 3 cos^(-1) x = cos^(-1) (4x^3 - 3x), x in [1/2,1]

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