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

Prove that: `sin^(-1)((3)/(5))+cos^(-1)((5)/(sqrt(26)))=tan^(-1)((19)/(17))`

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tan(sin^(-1)((3)/(5))+cos^(-1)((3)/(sqrt(13)))=

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

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

Prove that: sin^(-1)((8)/(17))+sin^(-1)((3)/(5))=tan^(-1)((77)/(6))

Prove that cos^(-1)((4)/(5))=tan^(-1)((3)/(4))

Prove that : 4(sin^(-1)(1/sqrt(10)) + cos^(-1)( 2/sqrt(5)))=pi

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

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

Prove that: sin^(-1)(-(4)/(5))=tan^(-1)(-(4)/(3))=co^(-1)(-(3)/(5))-pi

Prove that sin ^(-1).(3)/(5) = tan ^(-1) .(3)/(4) .

MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-EXERCISE 2 (b) (Short Answer Type Questions)
  1. cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If tan ^(-1) ((1-x)/(1+x))= (1)/(2) tan^(-1) x, x gt 0, then x = ?

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  20. Solve the following equations : tan^(-1). (2x)/(1-x^(2)) +cos^(-1)....

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