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Solve the following equations: tan^-1(...

Solve the following equations:
`tan^-1((1-x)/(1+x)) = 1/2 tan^-1 x, x > 0`

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Prove that (9pi)/8 - 9/4 sin^-1 (1/3) = 9/4 si^-1 ((2sqrt2)/3)

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

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

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  4. sin(tan^-1x), |x|<1 is equal to :

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  5. If sin^-1(1-x) - 2sin^-1x = pi/2, then x is equal to :

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  6. tan^-1(x/y)-tan^-1((x-y)/(x+y)) is equal to :

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  7. Fill in the blanks: Domain of the function sin^-1 x is ……..

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  8. Range of function cos^-1 x is :

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  9. The principal value of tan^(-1)sqrt(3) is ............... .

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  10. Find the value of sin^-1(sin (3pi/5))

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  11. Fill in the blanks: Principal value of the function tan^-1 x lie in ...

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  12. Fill in the blanks: tan^-1 1 + sin^-1 (-sqrt3/2) + cos^-1 (-sqrt3/2)...

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  13. Principal value of cos^-1 (-1/2) is :

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  14. Fill in the blanks: The value of cos^-1 (cos 14pi/3) is …………

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  15. Fill in the blanks: The set of values of sec^-1 (1/2) is ……………

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  16. Fill in the blanks: For x in R, tan^-1 (x^2 +1) + cot^-1 (x^2 +1) is...

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  17. Fill in the blanks: If cos^-1 (-x) = alpha - cos^-1 x, then the valu...

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  18. Fill in the blanks: For |x| ge sqrt2, sec^-1 sqrt(x^2 -1) + cosec^-1...

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  19. Fill in the blanks: The value of cot^-1 (-x), for all x in R, in ter...

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  20. Fill in the blanks: If cos(tan^-1 x + cot^-1 sqrt3) = 0, then value ...

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