Given that `sintheta +2 costheta=1`then prove that `2sintheta-costheta=2`

If sintheta + 2 costheta=1 ,then prove that 2sintheta-costheta=2 .

If sintheta + 2 costheta=1 ,then prove that 2sintheta-costheta=2 .

If sintheta - costheta = 1 , then prove that sintheta + costheta =+-1

If sintheta +costheta =sqrt(2) costheta then prove that costheta -sintheta=sqrt(2) sintheta

If sintheta+costheta=sqrt(2)sintheta , then sintheta-costheta=?

If sintheta costheta=1/2 what is the value of (sintheta-costheta)^2 ?

if costheta+sintheta=sqrt2 costheta, prove that costheta-sintheta=sqrt2sintheta

Prove that sintheta/(1+costheta) + (1+costheta)/sintheta = 2cosectheta

Prove that (sintheta)/(1+costheta)+(1+costheta)/sintheta=2cosectheta .

Given that 1-costheta=2sin^2(theta/2) and 1+costheta=2cos^2(theta/2) prove that (1+sintheta-costheta)/(1+sintheta+costheta)=tan(theta/2)