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Prove that sin^(-1) . 3/5 - sin ^(-1...

Prove that
` sin^(-1) . 3/5 - sin ^(-1) . 8/17 = cos^(-1) . 84/85 `

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Show that sin^(-1) . 3/5 + sin^(-1) . 15/17 = pi - sin^(-1) . 84/85

Show that : sin^(-1) (3/5) + sin^(-1) (8/17) = cos^(-1) (36/85) .

Prove that sin^(-1) . 8/17 +sin^(-1) . 3/5 = sin^(-1) . 77/85

Prove that sin^(-1) . 8/17 +cos^(-1) . 4/5 = cos^(-1). 36/85

Prove that sin^(-1). 3/5 +cos^(-1) . 12/13 = sin^(-1). 56/65

Prove that sin^(-1) . 8/17 +cos^(-1). 4/5 = cot^(-1) ((36)/77)

Show that sin^(-1)((3)/(5))-sin^(-1)((8)/(17))=cos^(-1)((84)/(85))

Show that "cos"^(-1) 4/5+"sin"^(-1) 15/17=(pi)/2+"cos"^(-1)84/85

Prove that sin^(-1)(3/5)+cos^(-1)(15/17)=cos^(-1)(36/85)

MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-EXERCISE 2 (b) (Short Answer Type Questions)
  1. Prove that 2sin^-1[3/5]-tan^-1[17/31]=pi/4

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  2. Prove that sin^(-1). 3/5 +cos^(-1) . 12/13 = sin^(-1). 56/65

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  3. Prove that sin^(-1) . 3/5 - sin ^(-1) . 8/17 = cos^(-1) . 84/85

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  4. cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)

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

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  6. Prove that: sin^(-1)((3)/(5))+cos^(-1)((5)/(sqrt(26)))=tan^(-1)((19)/(...

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  7. Find the value of : 4(2 tan^(-1) . 1/3 +tan^(-1). 1/7)

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  8. Prove that :2tan^(-1)1/5+sec^(-1)(5sqrt(2))/7+2tan^(-1)\ 1/8=pi/4

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  9. Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

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  10. Prove that: cot^(-1)((ab+1)/(a-b))+cot^(-1)((bc+1)/(b-c))+cot^(-1)((ca...

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  11. Find the value of tan { 1/2 sin^(-1) ((2x)/(1+x^(2))) + 1/2 cos^(-1...

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  12. Prove that tan[pi/4+1/2cos^(-1)""a/b]+tan[pi/4-1/2cos^(-1)""a/b]=2b/a

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

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  14. Solve tan^(-1) ((x+1)/(x-1)) + tan^(-1) ((x-1)/x) = tan^(-1)(-7)

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

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  16. Solve sin^(-1) (1 - x) - 2 sin^(-1) x = (pi)/(2)

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  17. Solve for x : 2tan^(-1)(sinx)=tan^(-1)(2secx),\ x!=pi/2

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  18. Solve : 2 tan^(-1), (cos x) = tan^(-1), (2 cosec x)

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  19. Solve the following equations : tan^(-1) (x+2) +tan^(-1) (x-2) = ta...

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

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