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Prove that: 2tan^(-1)1/2+tan^(-1)1/7=ta...

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

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

Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4

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OSWAAL PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-SHORT ANSWER TYPE QUESTIONS - II
  1. Prove that tan^(-1)x+tan^(-1)(2x)/(1-x^2)=tan^(-1)((3x-x^3)/(1-3x^2)),...

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  2. tan^(-1)x+tan^(-1)y=pi+tan^(-1)((x+y)/(1-xy))

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

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

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  5. Solve the equation sin^(-1)y x+sin^(-1)6sqrt(3)x=(-pi)/2dot

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  6. cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=(x)/...

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

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

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  9. Solve for "x\ ":tan^(-1)(1-"x")/(1+"x")=1/2"tan"^(-1)"\ x";"x">0

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

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  11. Prove that: tan^(-1)[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+)x+sqrt(1-x))]=pi/4...

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  12. If tan^(-1)((x-2)/(x-4))+tan^(-1)((x+2)/(x+4))=pi/4, find the value of...

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  13. Solve for x : cos(tan^(-1)x)=sin(cot^(-1)3/4)

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  14. Prove the following: cos^(-1)((12)/(13))+sin^(-1)(3/5)=sin^(-1)((56)/...

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  15. Find the value of the following: tan1/2[sin^(-1)(2x)/(1+x^2)+cos^(-1)...

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  16. Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4dot

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  17. Show that: tan(1/2sin^(-1)3/4)=(4\ sqrt(-7))/3

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

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  19. tan^(-1)((3)/(4))+tan^(-1)((3)/(5))-tan^(-1)((8)/(19))=

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  20. Prove that t a n^(-1)((cosx)/(1+sinx))=pi/4-x/2,\ x in (-pi/2,pi/2)

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