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If tan^(-1)2+tan^(-1)3+theta=pi, find th...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Prove the following: 4tan^(-1)1/5-tan^(-1)1/(70)+tan^(-1)1/(99)=pi/4 ...

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  17. Evaluate: tan{1/2cos^(-1)(sqrt5/3)}

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  18. sin^(-1)(1-x)-2sin^(-1)x=pi/2 , then x is equal to (A) 0,1/2 (B) 1,1...

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  19. If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=ta...

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  20. Evaluate: tan(2tan^(-1)(1/5))

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