If `2\ t a nalpha=3t a nbeta,` prove that `tan(alpha-beta)=(s in2beta)/(5-cos2beta)`

If 2\ t a nalpha=3t a nbeta, prove that tan(alpha-beta)=(sin2beta)/(5-cos2beta)

If tan (alpha-beta)=(sin 2beta)/(3-cos 2beta) , then

If 2tanalpha=3t a nbeta,t h e ntan(alpha-beta)= (a) (sin2beta)/(5-cos2beta) (b) (cos2beta)/(5-cos2beta) (c) (sin2beta)/(5+cos2beta) (d) none of these

If 2t a nalpha/2=tan(beta/2) , prove that cosalpha=(3+5cosbeta)/(5+3cosbeta)

If tan beta = 3 tan alpha, prove that tan (alpha + beta) = (2sin 2beta)/(1+cos 2beta)

If 2 tan (alpha/2)=tan (beta/2), prove that cos alpha=(3+5 cos beta)/(5+3 cos beta).

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

If cos^2alpha-sin^2alpha=tan^2beta," then prove that "tan^2alpha=cos^2beta-sin^2beta .

If cos alpha=4/5 and cos beta =5/13, prove that cos (alpha-beta)/2=28/65.

Prove that: tan(alpha+beta)tan(alpha-beta)=(sin^2 alpha-sin^2 beta)/(cos^2 alpha-sin^2 beta)