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Solve the equation sin^(-1)y x+sin^(-1)6...

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

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The correct Answer is:
`-(1)/(12)`
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OSWAAL PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-SHORT ANSWER TYPE QUESTIONS - II
  1. Prove that: 2tan^(-1)1/2+tan^(-1)1/7=tan^(-1)(31)/(17)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. cos(sin^-1 (3/5)+ cot^-1(3/2)) = 6/(5sqrt13)

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  20. cos^(-1)((4)/(5))+cos^(-1)((12)/(13))=

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