`sin(theta+phi)/cos(theta-phi)=(1-x)/(1+x)` then prove that `tan(pi/4-theta)tan(pi/4+phi)=x`

If cos(theta+phi)= mcos(theta-phi) , then prove that tan theta=(1-m)/(1+m)cotphi .

If cos(theta+phi)= mcos(theta-phi) , then prove that tan theta=(1-m)/(1+m)cotphi .

If 0

If theta - phi=pi/4 , prove that : (1 + tan theta)(1-tan phi)=2 .

If 0

If phi(x)=(1-x)/(1+x) , show that, phi(cos2 theta)=tan ^2theta.

If sin theta+sin phi=(1)/(4) and cos theta+cos phi=(1)/(5) then value of sin(theta+phi) is

(sin (theta + phi))/( sin theta cos phi) = cot theta tan phi +1.

prove that (cos3 theta+cos3 phi)/(2cos(theta+phi)-1)=(cos theta+cos phi)cos(theta+phi)-(sin theta+sin phi)sin(theta+phi)

If theta - phi=pi/4 , prove that : (1 + tan theta)(1+tan phi)=2 tan theta .