Prove that: `t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha`

prove that : tan(alpha)+2 tan(2alpha) +4(tan4alpha)+8cot(8alpha) = cot(alpha)

If alpha=[2pi]/7 then tanalphatan2alpha+tan2alphatan4alpha+tan2alphatan4alpha=

If alpha=pi/(14), then the value of (tanalphatan2alpha+tan2alphatan4alpha+tan4alphatanalpha) is 1 (b) 1//2 (c) 2 (d) 1//3

For alpha=pi/7 which of the following hold(s) good? (a) tanalphatan2alphatan3alpha=tan3alpha-tan2alpha-tanalpha (b) cos e calpha=cos e c2alpha+cos e c4alpha (c) cosalpha-cos2alpha+cos3alpha=1/2 (d) 8cosalphacos2alphacos4alpha=1

Prove that sin^2alpha-sin^4alpha= cos^2alpha-cos^4alpha

Prove that sin4 alpha=4tan alpha (1- tan^(2)alpha)/((1+tan^2 alpha)^2

Which of the following identities, wherever defined, hold(s) good? (a) cotalpha-tanalpha=2cot2alpha (b) tan(45^0+alpha)-tan(45^0-alpha)=2cos e c2alpha (c) tan(45^0+alpha)+tan(45^0-alpha)=2sec2alpha (d) tanalpha+cotalpha=2tan2alpha

Prove that tan(alpha-beta)=(tanalpha-tanbeta)/(1+tanalphatanbeta)

Prove that tan(alpha+beta)=(tanalpha+tanbeta)/(1-tanalphatanbeta)

If cot^3alpha+cot^2alpha+cotalpha=1 then (a) cos2alpha.tanalpha=-1 (b) cos2alpha.tanalpha=1 (c) cos2alpha-tan2alpha=1 (d) cos2alpha-tan2alpha=-1