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sin (frac {pi}{3} - sin^-1 (-frac{1}{2})...

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

A

`1/2`

B

`1/3`

C

`1/4`

D

1

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Show that sin^-1 frac{3}{5} - sin^-1 frac {8}{17}= cos^-1 frac {84}{85}

PSEB-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise
  1. Find the value of tan(sin^-1 frac{3}{5} + cot^-1 frac{3}{2}).

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

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

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

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  5. cos^-1 (cos 13 pi/6) is :

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  6. Find the value of the following: tan^-1(tan(7pi/6))

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

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  8. Prove that : sin^-1 (8/17) + sin^-1(3/5) = tan^-1 (77/36)

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  9. Prove that : cos^-1 (4/5) + cos^-1(12/13) = cos^-1 (33/65)

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  10. Show that cos^-1 frac{12}{13} + sin^-1 frac {3}{5}= sin^-1 frac {56}{6...

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

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  12. tan^-1 frac{1}{5} + tan^-1 frac{1}{7} + tan^-1 frac {1}{3} + tan^-1 fr...

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  13. Prove that tan^(-1)sqrtx = 1/2cos^(-1) ((1-x)/(1+x)), x in [0,1]

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  14. Prove that : cot^-1[(sqrt(1+sin x) + sqrt(1-sin x))/(sqrt1+sin x + sqr...

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  15. Prove that : tan^-1[(sqrt(1+x) - sqrt(1-x))/(sqrt1+x + sqrt1-x)] = pi/...

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  16. Prove that: (9pi/8) - (9/4)sin^-1(1/3) = (9/4)sin^-1(2sqrt2/3)

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

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  18. Solve the following equation : tan^-1((1-x)/(1+x)) = (1/2)tan^-1x, (x>...

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

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

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