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=

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

If tan ( alpha-beta) = (sin 2 beta)/(5-cos 2 beta),"find the value of " tan alpha : tan beta.

tanalpha=3/4 and alpha+beta=45^@ then tanbeta=

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? (a) alpha+beta+gamma=pi (b) cotalpha+cotbeta+cotgamma=cotalphacotbetacotgamma (c) tanalpha+tanbeta+tangamma=tanalphatanbetatangamma (d) tanalphatanbeta+tanbetatangamma+tangammatanalpha=1

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

By geometrical interpretation, prove that tan(alpha+beta)=(tanalpha+tanbeta)/(1-tanalphatanbeta) .

Let tanalpha=a/(a+1) and tan beta=1/(2a+1) then alpha+beta is

If sinalpha+sinbeta=1/2 , cosalpha+cosbeta=5/4 find the value of tanalpha+tanbeta

If tantheta=(tanalpha+tanbeta)/(1+tanalphatanbeta) ,then show that sin2theta=(sin2alpha+sin2beta)/(1+sin2alphasin2beta)