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Prove that : tan^(-1)2+tan^(-1)3=(3pi)/4...

Prove that : `tan^(-1)2+tan^(-1)3=(3pi)/4`

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Solve : 4sin^(-1)x=pi-cos^(-1)x

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  2. If (sin^(-1)x)^2+(cos^(-1)x)^2=(17pi^2)/(36) , find xdot

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  3. Prove that : tan^(-1)2+tan^(-1)3=(3pi)/4

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  4. Prove that : tan^(-1)(2/11)+tan^(-1)(7/24)=tan^(-1)(1/2)

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

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

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

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

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  9. What is greater, tan1 or tan^(-1)1?

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  10. Find the minimum value of n for which tan^(-1)(n/pi)&gt;pi/4,n in Ndo...

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  11. Find the principal values of sec^(-1)(2/(sqrt(3))) and sec^(-1)(-2)

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  12. Find the domain of sec^(-1)(2x+1)

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  13. Find the principal value of cos^(-1){sin"{"cos^(-1)1/2")"}

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  14. If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then f...

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  15. Evaluate tan ^ (-1) {sin (-pi/2)}

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  16. For the principal values, evaluate each of the following: (i) tan^(-1)...

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  17. For the principal values, evaluate each of the following: "tan^(-1)sq...

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  18. Find the domain of sec^(-1)(3x-1) (ii) sec^(-1)x-tan^(-1)x

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  19. Show that cos^(-1) ((cos alpha+cos beta)/(1+cosalpha cosbeta))=2 tan^(...

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  20. Show taht 2tan^-1(tan(alpha/2)tan(pi/4-beta/2))=tan^-1((sinalphacosbet...

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