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

Solve for x: `tan^(-1)3x+tan^(-1)2x=pi/4`

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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. Prove: tan^(-1)(1/4)+tan^(-1)(2/9)=sin^(-1)(1/(sqrt(5)))

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

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

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  4. Solve for x: tan^-1(x+1)+tan^-1(x-1)=tan^-1(8/31)

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  5. Solve : tan^(-1)(x-1)+tan^(-1)x+tan^(-1)(x+1)=tan^(-1)3x

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  6. Solve for x :tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,x >0

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  7. Solve for x : cot^(-1)x-cot^(-1)(x+2)=pi/(12) , where x >0

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  8. Solve for x : tan^(-1)(x+2)+tan^(-1)(x-2)=tan^(-1)(8/(79)) , x >0

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  9. Solve for x : tan^(-1)(x/2)+tan^(-1)(x/3)=pi/4 , 0

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

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  11. Solve for x : tan^(-1)(2+x)+tan^(-1)(2-x)=tan^(-1)2/3 , where x<-sqrt(...

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

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  13. Find the sum of the series :(tan^- 1)1/3+(tan^- 1)2/9+....+(tan^- 1)(2...

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

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

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  16. Prove each of the followingsin^(- 1)(3/5)+sin^(- 1)(8/17)=sin^(- 1)(77...

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

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

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  19. Show that sin^-1 (3/5)+cos^-1(12/13)=cos^-1(33/65)=sin^-1(56/65)

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  20. sin^(-1)((3x)/5)+sin^(-1)((4x)/5)=sin^(-1)x , then roots of the equa...

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