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Prove that: sin^(-1)(12)/(13)+cos^(-1)4/...

Prove that: `sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)=pi`

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Show that (sin^(-1)(12))/(13)+(cos^(-1)4)/(5)+(tan^(-1)(63))/(16)=pi

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

Prove that: sin^(-1)((5)/(13))+cos^(-1)((4)/(5))=(1)/(2)sin^(-1)((3696)/(4225))

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

Prove that cos^(-1) ((5)/(13))+cos^(-1) (-7/25)+sin^(-1) (36)/(325)=pi

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

Let alpha=2tan^(-1)((1)/(2))+(sin^(-1)3)/(5) and beta=sin^(-1)((12)/(13))+cos^(-1)((4)/(5))+cos^(-1)((16)/(63)) be such that2sin alpha and cos beta are roots of the equation x^(2)-px+q=0, then (p-q) is

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

sin^(-1)(5/13)+tan^(-1)(12/5)=

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

MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-EXERCISE 2 (b) (Short Answer Type Questions)
  1. Prove that tan^(-1) ((1-sqrt(x))/(1+sqrt(x))) = pi/4 - tan^(-1) sqr...

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  2. Evaluate sin^(-1) . 4/5 + sin^(-1) . 5/13 + sin^(-1) . 16/65

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

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

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  5. Prove that tan^(-1). 1/2 +tan^(-1). 2/11 = tan^(-1) . 3/4

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

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

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  8. Prove that 2 tan^(-1) . 1/5 +tan^(-1) . 1/6 = tan^(-1). 9/13

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

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  10. Prove that tan^(-1). 1/2 +tan^(-1). 1/5 = 1/2 cos^(-1). 16/65

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

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  12. Prove that tan ^(-1). 3/4+ tan^(-1) . 3/5 - tan^(-1) . 8/19 = pi/4

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  13. Prove that tan ^(-1) . 1/5 + tan^(-1) . 1/7 + tan ^(-1) . 1/8 = pi/4

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  14. Prove that tan ^(-1) . 1/5 + tan^(-1) . 1/7 + tan ^(-1) . 1/8 = pi/4

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

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

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

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

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

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

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