[" tan "A=n+anB],[" sint "=m sin beta]quad cos^(2)A=((n^(2)-1))/((n^(2)-1))

If tan A=n tan B and sin A=m sin B, prove that cos^(2)A=(m^(2)-1)/(n^(2)-1)

If tan A = n tan B and sin A = m sin B , show that cos^(2)A= (m^(2)-1)/(n^(2)-1) .

If tan A = n tan B and sin A = m sin B, prove that : cos^(2) A = (m^(2) - 1)/(n^(2) - 1)

If "tan" alpha= n tan beta and sin alpha =m sin beta prove that : cos^(2)alpha=(m^(2)-1)/(n^(2)-1)

If tan alpha= n tan beta and sin alpha= m sin beta , prove that cos^2 alpha= (m^2-1)/(n^2-1) .

If tan theta=(m)/(n) , show that (m sin theta-n cos theta)/(m sin theta+n cos theta)=(m^(2)-n^(2))/(m^(2)+n^(2))

Prove that cos^(-1)((1-x^(2n))/(1+x^(2n)))=2 tan^(-1)x^n

If (cos alpha)/(cos beta)=m and (cos alpha)/(sin beta)=n show that (m^(2)+n^(2))cos^(2)beta=n^(2)

If n=(cos alpha)/(cos beta),m=(sin alpha)/(sin beta) then (m^(2)-n^(2))sin^(2)beta is