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If tanA+tanB=a and cotA+cotB=b then show...

If tanA+tanB=a
and cotA+cotB=b
then show that `cot(A+B)=1/a-1/b`

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MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If tan theta=(sinxcdot siny)/(cos x + cos y) then prove that one of ...

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  2. If sec(phi+alpha)+sec(phi-alpha)=2secphi show that cosphi=+-sqrt2cosfr...

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  3. If tanA+tanB=a and cotA+cotB=b then show that cot(A+B)=1/a-1/b

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  4. If cottheta=cos(x+y)andcotphi=cos(x-y) then show that tan(theta-phi)=...

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  5. If tanbeta=(n^2sinalpha cdot cosalpha)/(1-n^2sin^2alpha) then show th...

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  6. If 2tanalpha=3tanbeta, then prove that then show that tan(alpha-bet...

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  7. If alpha,beta are acute angles and cos2alpha=(3cos2beta-1)/(3-cos2be...

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  8. If A+B+C=pi, then prove the following. cos2A+cos2B+cos2C+1+4cosA cdo...

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  9. If A+B+C=pi, then prove the following. sin2A+sin2B-sin2C=4cosA cdot ...

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  10. If A+B+C=pi, then prove the following. cosA+cosB+cosC=1+4sinfrac{1}{...

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  11. If A+B+C=pi, then prove the following. sinA+sinB-sinC=4sinfrac{1}{2}...

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  12. If A+B+C=pi, then prove the following. cos^2A+cos^2B+2cosA cdot cosB...

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  13. If A+B+C=pi, then prove the following. sin^2frac{A}{2}+sin^2frac{B}{...

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  14. If A+B+C=pi, then prove the following. sinfrac{A}{2}+sin frac{B}{2}+...

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  15. If A+B+C=pi, then prove the following. cos^2frac{A}{2}+cos^2frac{B}{...

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  16. If A+B+C=pi, then prove the following. sin(B+2C)+sin(C+2A)+sin(A+2B)...

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  17. Show that (2costheta-1) (2cos2theta-1) (2cos2^2theta-1)……(2cos2^(n-1)t...

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  18. Show that 2^ncostheta cdot cos2thetacdotcos2^2theta......cos2^(n-1)t...

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  19. Prove that tan2^ntheta/(tantheta) =(1+sec2theta)(1+sec2^2theta)....(1+...

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  20. If x+y+z=xyz, prove that x/(1-x^2)+ y/(1-y^2)+z/(1-z^2) =(4xyz)/((1-x...

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