If `xsin^3theta+ycos^3theta=sinthetacostheta`and `xsintheta-ycostheta=0`,show that `x^2+y^2=1`

Eliminate theta and phi sintheta+costheta=a , sin^3theta+cos^3theta=b

Solve : 4sinthetasin2thetasin4theta=sin3theta

If a cos theta +bsin theta=x and a sin theta-b cos theta = y then prove that a^2+b^2=x^2+y^2

solve : 2cos^2theta+4sin^2theta=3

Solve the equation cos theta +cos 3 theta-2cos 2theta=0

If sin^2theta + sin^ 4theta = 1 , then prove that cos^2theta+ costheta= 1

If (ax)/costheta+(by)/(sintheta)=a^2-b^2 and (axsintheta)/cos^2theta-(bycostheta)/sin^2theta=0 ,show that (ax)^(2//3)+(by)^(2//3)=(a^2-b^2)^(2//3)

Solve 2cos^2 theta+3 sin theta=0

Solve: 2cos^2theta-3costheta+1=0

If tan theta+sin theta =m and tan theta-sin theta=n ,then show that m^2-n^2=4sqrt(mn) .