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Find the value of tan(cos^-1 4/5 + cot^-...

Find the value of `tan(cos^-1 4/5 + cot^-1(3/2))`

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. The value of cot (tan^-1 x + cot^-1 x) is equal to :

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  2. Find the value of tan^-1 [ 2 cos ( 2 sin^-1 frac{1}{2})].

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  3. Find the value of tan(cos^-1 4/5 + cot^-1(3/2))

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  4. Find the value of tan^-1{9cos(2sin^-1(2/3)))}

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  5. Prove that tan^-1(1/2) + tan^-1 (1/3) = pi/4

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  6. Prove the following: tan^–1 (2/11) + tan^-1 (7/24) = tan^-1 (1/2)

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  7. Prove that tan^-1 (1/7) + tan^-1 (1/13) = tan^-1 (2/9)

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  8. Prove that 2 tan^-1 (1/2) + tan^-1 (1/9) = tan ^-1 (39/23)

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  9. Prove that : sin^-1 (5/13) +cos^-1 (3/5) =tan^-1 (63/16)

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  10. Prove that tan^-1 (1/4) + tan^-1 (2/9) = 1/2 cos^-1 (3/5) = sin^-1(1...

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  11. Prove that sin^-1(4/5) + cos^-1 (12/13) = tan^-1 (63/16)

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

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  13. Prove that cot^-1 7 + cot^-1 8 + cot^-1 18 = cot^-1 3

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  14. Prove that 4 tan^-1 (1/5) - tan^-1 (1/(239)) = pi/4

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  15. Prove that tan(sin^-1 x) = (x/(sqrt 1-x^2)), 1 x 1 < 1

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  16. Prove that tan^-1(1+x)/(1-x) = pi/4 + tan^-1x, x < 1

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  17. Prove that 3 tan^-1 x = tan^-1(3x-x^3)/(1-3x^2), |x| < 1/sqrt3

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  18. Prove that tan^-1 sqrtx = sin^-1 sqrt(x/1+x) = 1/2cos^-1 ((1-x)/(1+x...

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  19. Prove that tan^-1((sqrtx + sqrty)/(1 - (sqrtxy)) = tan^-1 sqrt x + t...

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  20. Prove that tan^-1 (x+sqrtx)/(1-xsqrtx) = tan^-1 x + tan^-1 sqrtx, 0 ...

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