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

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

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To prove that: \[ \sin^{-1}\left(\frac{12}{13}\right) + \cos^{-1}\left(\frac{4}{5}\right) + \tan^{-1}\left(\frac{63}{16}\right) = \pi \] we will follow these steps: ...
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Show that sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)=pi .

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

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

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

Prove that : cos^(-1).(3)/(5)+ cos^(-1).(12)/(13) = sin^(-1)((63)/(65))

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

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

Column I, Column II sin^(-1)4/5+2tan^(-1)1/3= , p. pi/6 sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)= , q. pi/2 If A=tan^(-1)(xsqrt(3))/(2lambda-x)a n dB=tan^(-1)((2x-lambda)/(lambdasqrt(3))) then the value of a-Bi s , r. pi/4 tan^(-1)1/7+2tan^(-1)1/3= , s. pi

Prove that : cos^(-1).(4)/(5)+ tan ^(-1).(3)/(5) = tan^(-1) .(27)/(11) (ii) Prove that : sin^(-1).(3)/(5)+ tan ^(-1).(3)/(5) = tan^(-1) .(27)/(11)

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

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  2. Prove that : tan^(-1)1+tan^(-1)2+tan^(-1)3=pi

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

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  4. If tan^(-1)2+tan^(-1)3+theta=pi, find the value of thetadot

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  5. Find dy/dx if x-2y=siny

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

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  7. Find value of tan^-1 (3/4)+tan^-1 (3/5)-tan^-1 (8/19)

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  8. Prove that : tan^(-1)(1/5)+tan^(-1)(1/7)+tan^(-1)(1/3)+tan^(-1)(1/8)=p...

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  9. Prove that : cot^(-1)7+cot^(-1)8+cot^(-1)18=cot^(-1)3

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  10. Simplify each of the following: tan^(-1)((a+b x)/(b-a x))

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  11. Prove that: tan^(-1)((1-x)/(1+x))-tan^(-1)((1-y)/(1+y))=sin^(-1)((y-x)...

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  12. If a > b > c >0 , prove that cot^(-1)((a b+1)/(a-b))+cot^(-1)((b c+1)...

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

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

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  15. Solve: tan^(-1)((x-1)/(x+1))+tan^(-1)((2x-1)/(2x+1))=tan^(-1)((23)/(36...

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  16. If a ,\ b ,\ c >0 such that a+b+c=a b c , find the value of tan^(-1)a+...

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  17. Evaluateint(2-x)(5-x)\dx

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  18. If a1,\ a2,\ a3,\ ,\ an are in arithmetic progression with common ...

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  19. Prove that : sum(m=1)^n\ \ \ tan^(-1)((2m)/(m^4+m^2+2))=tan^(-1)((n^2+...

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  20. Sum the following series to infinity : tan^(-1)(1/(1+1+1^2))+tan^(-...

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