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

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

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Prove the following: 2\ tan^(-1)(3/4)-tan^(-1)((17)/(31))=pi/4

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Prove the following: tan^(-1)1/7+2\ tan^(-1)1/3=pi/4

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  2. Prove the following : sin^(-1)(4/5)+2\ tan^(-1)(1/3)=pi/2

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

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  4. Prove the following: 2\ tan^(-1)(1/5)+tan^(-1)(1/8)= tan^(-1)(4/7)

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  5. Prove the following: 2\ tan^(-1)(3/4)-tan^(-1)((17)/(31))=pi/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 the following: 4\ tan^(-1)(1/5)-tan^(-1)(1/(239))=pi/4

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  8. If sin^(-1)((2a)/(1+a^2))-cos^(-1)((1-b^2)/(1+b^2))=tan^(-1)((2x)/(1-x...

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  9. Prove that: tan^(-1)((1-x^2)/(2x))+cot^(-1)((1-x^2)/(2x))=pi/2

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  10. Prove that: sin{tan^(-1)((1-x^2)/(2x))+cos^(-1)((1-x^2)/(1+x^2))}=1

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  11. If sin^(-1) ((2a)/(1+a^2))+ sin^(-1) ((2b)/(1+b^2)) = 2 tan^(-1)x then...

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  12. Show that :2tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is constant for xgeq1, fi...

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  13. Find the value of: tan^(-1)[2cos(2sin^(-1)(1/2)]

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  14. Find the value of cos(sec^(-1)x+"c o s e c"^(-1)x) , |x|geq1

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  15. Find the value of tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

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  16. Solve the following equation for x : tan^(-1)(1/4)+2tan^(-1)(1/5)+ta...

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  17. Solve 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x...

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  18. Solve the following equation for x: tan^(-1)((2x)/(1-x^2))+cot^(-1)...

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

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

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