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Prove that : 2tan^-1 (1/2) + tan^-1 (1/7...

Prove that : `2tan^-1 (1/2) + tan^-1 (1/7) = tan^-1 (31/17)`

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Prove that : 2tan^-1 (1/2) + tan^-1 (1/6) = tan^-1 (27/14)

Prove that : 2tan^-1 (1/4) + tan^-1 (1/3) = tan^-1 (39/37)

Prove that : 2 tan^-1 (1/2) + tan^-1 (1/5) =tan^-1 (23/11)

Prove that : 2 tan^-1 (1/5) + tan^-1 (1/8) = tan^-1(4/7)

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

Prove that : 2 tan^-1(1/5) + tan^-1(1/4) = tan^-1(32/43)

Prove that : 2 tan^-1(1/7) + tan^-1(1/3) = tan^-1(9/13)

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

Prove that : 2tan^-1 (1/5) + tan^-1 (7/17) = pi/4

Prove that : 2 tan^-1(1/5) + tan^-1(1/6) = tan^-1(42/67)

PSEB-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise
  1. Prove the following: 3cos^–1 x = cos^–1 (4x^3 – 3x), x in [1/2,1]

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

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  3. Prove that : 2tan^-1 (1/2) + tan^-1 (1/7) = tan^-1 (31/17)

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  4. Write the following function in the simplest form: tan^-1 ((sqrt(1+cos...

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  5. Write the following function in the simplest form: tan^-1 ((sqrt(1+x^2...

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

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  7. Write the following function in the simplest form: tan -1 ((cosx - sin...

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

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

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

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

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

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  13. If sin(sin^–1(1/5) + cos^–1x) =1, then find the value of x.

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

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  15. The value of sin^-1 (sin (2π/3)) is :

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  16. The value of tan^-1 (tan (3π/4)) is :

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  17. Find the value of tan(sin^-1 frac{3}{5} + cot^-1 frac{3}{2}).

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  18. cos^-1 (cos frac{7pi}{6}) is equal to :

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  19. sin (frac {pi}{3} - sin^-1 (-frac{1}{2})) is equal to:

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

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