if `(sintheta-costheta)/(sintheta+costheta)=(sqrt3-1)/(sqrt3+1)` then find the `theta`

sintheta+costheta=(sqrt(3)+1)/(2)

If (costheta-sintheta)/(costheta+sintheta)=(1-sqrt(3))/(1+sqrt(3)) , then find the value of theta .

if sintheta+costheta=3/2 then find sintheta.costheta

If sintheta-costheta=1 ,then find sintheta.costheta

sintheta=-1/2 and costheta=-sqrt(3)/2

Prove that (frac(1+sintheta-costheta)(1+sintheta+costheta))=sqrt(1-costheta)/sqrt(1+costheta)

If (sintheta+costheta)/(sintheta-costheta)=3 and theta is an acute angle, then the value of (3sintheta+4costheta)/(8costheta-3sintheta) is

(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1 if

sintheta - sqrt(3)costheta =1

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