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

If sin alpha=(12)/(13), cos beta =4/5 and alpha, beta are two acute angles, then Value of (tanalpha-tan beta)/(1+tanalpha tan beta) is

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

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

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

Show that tanalphatanbeta=tan^2gamma when tan(alpha-beta)/tanalpha+sin^2gamma/sin^2alpha=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? (a) alpha+beta+gamma=pi (b) cotalpha+cotbeta+cotgamma=cotalphacotbetacotgamma (c) tanalpha+tanbeta+tangamma=tanalphatanbetatangamma (d) tanalphatanbeta+tanbetatangamma+tangammatanalpha=1

If alpha!=beta and atanalpha+b tanbeta=(a+b)tan((alpha+beta)/2) ,then show that (cosalpha)/(cosbeta)=a/b

If (tan(alpha+beta-gamma))/("tan"(alpha-beta+gamma))=(tangamma)/(tanbeta),(beta!=gamma) then sin2alpha+sin2beta+sin2gamma= (a) 0 (b) 1 (c) 2 (d) 1/2

If sectheta=secalphassecbeta+tanalphatanbeta ,show that tantheta=+-(secalphatanbeta+tanalphasecbeta)

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