If `t a nbeta=(ns inalphacosalpha)/(1-ns in^2alpha)` , show that `tan(alpha-beta)=(1-n)t a nalphadot`

If t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha) , show that tan(alpha-beta)=(1-n)t a nalphadot

If t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha) , show that tan(alpha-beta)=(1-n)t a nalphadot

If costheta=(cosalpha cosbeta)/(1-sinalphasinbeta) , prove that one value of t a ntheta/2=(t a nalpha/2-t a nbeta/2)/(1-t a nalpha/2 t a nbeta/2)

If cos theta=(cos alpha cos beta)/(1-sin alpha sin beta), prove that one value of tan (theta/2)=(tan (alpha/2)-tan (beta/2))/(1-tan (alpha/2) tan (beta/2)).

If cos theta=(cos alpha cos beta)/(1-sin alpha sin beta), prove that one value of (tan) theta/2=(tan alpha/2-tan beta/2)/(1-t a n alpha/2 tan beta/2).

If t a nalpha=x+1,tanbeta=x-1, show that 2cot(alpha-beta)=x^2dot

(sinalpha+sinbeta-sin(alpha+beta))/(sinalpha+sinbeta+sin(alpha+beta))=tan(alpha/2)tan(beta/2)

(1+tan alpha tan beta)^2 + (tan alpha - tan beta)^2 =

if tan alpha = 2tanbeta show that (sin(alpha+beta))/(sin(alpha-beta)) = 3

If : sin (alpha + beta)=1 and sin (alpha-beta)=(1)/(2), "then" : tan (alpha+2beta)*tan(2alpha+beta)=