If `tan(alpha+theta)=n(alpha-theta)` , show that `(n+1)s in2theta=(n-1)sin2alphadot`

If tan(alpha+theta)=n tan(alpha-theta), show that (n+1)sin2 theta=(n-1)sin2 alpha.

If tan (alpha+theta)=n tan (alpha-theta) ,show that: (n+1)"sin" 2theta=(n-1) sin 2alpha

If "tan"(alpha+theta)=n "tan"(alpha-theta) ,ahow that: (n+1)"sin"2 theta=(n-1)"sin"2alpha

If tan(alpha+beta)=n tan(alpha-beta) then show that (n+1)sin2 beta=(n-1)sin2 alpha

If tan (alpha + theta) = n tan(alpha - theta) , show that : (n + 1) sin 2 theta = (n - 1) sin 2alpha .

If tan(alpha+theta)=n tan(alpha-theta) then value of (n+1)/(n-1)=

If tan theta=(tan alpha+tan beta)/(1+tan alpha tan beta) then show that sin2 theta=(sin2 alpha+sin2 beta)/(1+sin2 alpha sin2 beta)

If sec(theta+alpha)+sec(theta-alpha)=2sec theta then show that cos^(2)theta=1+cos alpha

If sec(theta+alpha)+sec(theta-alpha)=2sec theta then show that cos^(2)theta=1+cos alpha

If sin(theta+alpha)=n sin(theta-alpha) , prove that cot theta=(n-1)/(n+1) cot alpha .