Transform to Cartesian coordinates the equations: `r^2=a^2cos2theta`

Transform to Cartesian coordinates the equations: r^(2)=a^(2)cos2 theta

Convert into Cartesian coordinates: (2, 2pi)

Complete the equation sin^2 theta + cos^2 theta =

Complete the equation. sin^(2)theta + cos^(2)theta =

Solve the equation 2cos^(2)theta+3sin theta=0

Convert Cartesian coordinate into polar coordinate (2,2)

Solve the equation : cos^(2)theta=cos^(2)alpha

Convert into Cartesian coordinates: ((sqrt2+1)/sqrt2,pi/4)

If alpha and beta are the solution of the equation a cos2 theta+b sin2 theta=c then cos^(2)alpha+cos^(2)beta is equal to