[" (iii) If "2cos(alpha+beta)cos(alpha-beta)=1" ,show that "tan^(2)alpha=],[(1-tan^(2)beta)/(1+3tan^(2)beta)]

If " "2 cos (alpha + beta) cos (alpha-beta)=1, "show that," tan^(2) alpha = (1-tan^(2) beta)/(1+3 tan^(2) beta)

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

If cos alpha+cos beta=1/3 and sin alpha+sin beta=1/4 ,show that tan((alpha+beta)/2)=3/4

If cos^(2)alpha-sin^(2)alpha=tan^(2)alpha, then show that tan^(2)alpha=cos^(2)beta-sin^(2)beta

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

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

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

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

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