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Express the following functions in the s...

Express the following functions in the simplest form :
`tan^-1 (sqrt((1-x)/(1+x)))`, - 1 < x le 1`

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Express the following functions in the simplest form : tan^-1(x/(sqr...

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  2. Express the following functions in the simplest form : tan^-1((2sqrt...

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  3. Express the following functions in the simplest form : tan^-1 (sqrt(...

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  4. Express the following functions in the simplest form : cot^-1(sqrt(1...

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  5. Express the following functions in the simplest form : tan^-1(3x - x...

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  6. Express the following functions in the simplest form : tan^-1 ((3a^2...

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  7. Express the following functions in the simplest form : tan^-1 (a cos...

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  8. Solve : cot^-1(2x)+cot^-1(3x)=pi/4

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  9. Solve the following equations. cot^-1 x - cot^-1 (x+2) = pi/12, x > ...

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  10. Solve the following equations: tan^-1((1-x)/(1+x)) = 1/2 tan^-1 x, x...

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

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  12. Solve the following equations. cos^-1((1-x^2)/(1+x^2)) + tan^-1 ((2x...

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  13. Solve : 3 tan^-1(1/(2+sqrt3)) - tan^-1(1/x) = tan^-1(1/3)

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  14. Solve the following equations. tan^-1 (x-1) + tan^-1 x + tan^-1 (x+1...

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  15. Solve the following equations. tan^-1 (sqrt(x^2 + x) + sin^-1 sqrt(x...

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  16. Solve the following equations. tan^-1 (x-1)/(x-2) + tan6-1 (x+1)/(x+...

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  17. Solve : ((tan^-1 ((2x-3)/(2x-5)) + tan^-1((2x+3)/(2x+5)))=pi/4) .

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  18. Solve the following equations. cos(tan^-1x) = sin (cot^-1 (3//4)

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  19. Solve the following equations: tan^-1(x+1) + tan^-1 (x-1) = tan^-1 (...

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  20. Prove that for 0 < a < b < c cot^-1 (1+ab)/(a-b) + cot^-1 (1+bc)/(b-...

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