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If alpha,beta are acute angles and cos...

If `alpha,beta` are acute angles and
`cos2alpha=(3cos2beta-1)/(3-cos2beta)`,
then prove that `tan alpha=sqrt2 tan beta`

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MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
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  2. If 2tanalpha=3tanbeta, then prove that then show that tan(alpha-bet...

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

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

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

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

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

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

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

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

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

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

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

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  16. 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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  17. If x+y+z=xyz, prove that (3x-x^3)/(1-3x^2)+(3y-y^3)/(1-3y^2)+(3z-z^3)/...

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  18. Ifsin^4alpha/a+cos^4alpha/b=1/(a+b) show that sin^8alpha/a^3+cos^8alph...

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  19. The number of solutions of 2sintheta-1=0 is.

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  20. If cosalpha=cosbeta, then alpha+beta=

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