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

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

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

Prove that: cos2 alpha cos2 beta+sin^(2)(alpha-beta)-sin^(2)(alpha+beta)=cos2(alpha+beta)

Prove that: cos2alpha\ cos2beta+sin^2(alpha-beta)-sin^2(alpha+beta)=cos2(alpha+beta) .

Prove that 2sin^(2)beta+4cos(alpha+beta)sin alpha sin beta+cos2(alpha+beta)=cos2 alpha

if 3tan alpha=4tan beta then prove that tan(alpha-beta)=(tan beta)/(4tan^(2)beta+3)=(sin beta*cos beta)/(3+sin^(2)beta)

If tan beta=3tan alpha, prove that tan(alpha+beta)=(2sin2 beta)/(1+cos2 beta)

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

If sin(alpha+beta)=1,sin(alpha-beta)=(1)/(2) then tan(alpha+2 beta)tan(2 alpha+beta)=

tan alpha and tan beta are roots of the equation x^(2)+ax+b=0, then the value of sin^(2)(alpha+beta)+a sin(alpha+beta)cos(alpha+beta)+b cos^(2)(alpha+beta) is equal to