S.T `tan alpha =(sin 2 alpha )/(1+cos 2 alpha )`. Hence find the value of `tan 15^(@) and tan 22 1//2^(@)`

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

If tan alpha.tan2alpha = 1 then find the value of cos2alpha .

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

In sin alpha+ sin beta=(1)/(2) and cos alpha+ cos beta =(5)/(4) , find the value of tan alpha+tan beta .

tan(alpha+beta)=(1)/(2),tan(alpha-beta)=(1)/(3), then find the value of tan2 alpha

tan (alpha + beta) =1/2, tan(alpha - beta) = 1/3 "then the value of" tan^(2) alpha is-

If alpha+beta=45^(@) , show that : (1+tanalpha)(1+tanbeta)=2. Hence, find the value of tan(22(1^(@))/(2)) .

If cos alpha, sin alpha and cot alpha are in G.P. show that tan^(6)alpha- tan^(2)alpha=1