If `tan(alpha-beta)=(sin2beta,)/(3-cos2beta)` then (a)`tanalpha=2tanbeta` (b) `tanbeta=2tanalpha` (c)`2tanalpha=3tanbeta` (d) `3tanalpha=2tanbeta`

(1+tanalphatanbeta)^2+(tanalpha-tanbeta)^2=

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

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

If alpha+beta+gamma=2pi, then (a) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=tan(alpha/2)tan(beta/2)tan(gamma/2) (b) tan(alpha/2)tan(beta/2)+tan(beta/2)tan(gamma/2)+tan(gamma/2)tan(alpha/2)=1 (c) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=-tan(alpha/2)tan(beta/2)tan(gamma/2) (d)none of these

If tanalpha=1/3,tanbeta=1/7 ,show that 2alpha +beta=pi/4

Let alpha=som^(-1)((36)/(85)),beta=cos^(-1)(4/5)a n dgamma=tan^(-1)(8/(15)) then cotalpha+cotbeta+cotgamma=cotalphacotbetacotgamma tanalphatanbeta+tanbetatangamma+tanalphatangamma=1 tanalpha+tanbeta+tangamma=tanalphatanbetatangamma cotalphacotbeta+cotbetacotgamma+cotalphacotgamma=1

Let alpha,betaa n dgamma be some angles in the first quadrant satisfying tan(alpha+beta)=(15)/8a n dcos e cgamma=(17)/8, then which of the following hold(s) good? alpha+beta+gamma=pi cotalpha+tanbeta+tangamma=tanalphatanbetatangamma tanalpha+tanbeta+tangamma=tanalphatanbetatangamma tanalphatanbeta+tanbetatangamma+tangammatanalpha=1

If tanalpha=1/7,sin beta=1/(sqrt(10)), prove that alpha+2beta=pi/4

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

If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(alpha/2)cot(beta/2) (b) tan(alpha/2)tan(beta/2) -cot((alphabeta)/2)tan(beta/2) (d) cot(alpha/2)cot(beta/2)