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Prove that sin^(-1)(63/65)=sin^(-1)(5/13...

Prove that `sin^(-1)(63/65)=sin^(-1)(5/13)+cos^(-1)(3/5)`

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

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

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

Prove that sin^(-1)(5/13)+sin^(-1)(16/65)=cos^(-1)(4/5)

Prove that 2sin^(-1)((3)/(5))-cos^(-1)((5)/(13))=cos^(-1)((323)/(325))

Prove that sin^(-1)((4)/(5))+tan^(-1)((5)/(12))+cos^(-1)((63)/(65))=(pi)/(2)

Prove that cos^(-1)(3/5) + cos^(-1) (12/13) + cos^(-1)( 63/65) =pi/2 .

Prove that: sin^(-1)((4)/(5))+sin^(-1)((5)/(13))+sin^(-1)((16)/(65))=(pi)/(2)

Prove that : "tan"^(-1)3/4+"sin"^(-1)5/13="cos"^(-1)33/65

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

MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-EXERCISE 2 (b) (Short Answer Type Questions)
  1. Prove that cos^(-1).(4)/(5) + cos^(-1).(12)/(13) = cos^(-1).(33)/(65)

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

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  3. Prove that sin^(-1)(63/65)=sin^(-1)(5/13)+cos^(-1)(3/5)

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

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

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

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  7. Prove that 2sin^-1[3/5]-tan^-1[17/31]=pi/4

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  8. Prove that 2sin^-1[3/5]-tan^-1[17/31]=pi/4

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

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

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

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

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

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

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

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

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

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

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

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

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