If `cos theta=(cos alpha-cos beta)/(1-cos alpha cos beta),`prove that `tan theta/2=+-tan alpha/2 cot beta/2.`

If cos theta=(cos alpha+cos beta)/(1+cos alpha cos beta), prove that (tan theta)/(2)=-(tan alpha)/(2)(tan beta)/(2)

Prove that cos theta =(cos alpha- cos beta)/(1 -cos alpha*cos beta) ⇔ tan theta/2 = pm tan alpha/2 *cot 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-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-tan(alpha)/(2)(tan beta)/(2))

If cos theta =(cos alpha - cos beta)/( 1- cos alpha cos beta), then one of the values of tan ((theta )/(2)) is

cos theta = (cos alpha-cos beta) / (1-cos alpha * cos beta) rArr tan ^ (2) ((theta) / (2)) tan ^ (2) ((beta) / (2))

(cos^2alpha-cos^2beta)/(cos^2alpha cos^2beta)=tan^2beta-tan^2alpha

sin alpha sin beta-cos alpha cos beta=1 then show that tan alpha+tan beta=0

If cos theta=cos alpha cos beta, prove that tan(theta+alpha)/(2)tan(theta-alpha)/(2)=tan^(2)(beta)/(2)