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

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)

(a) Transfer the equation x^2+y^2=2ax Cartesian co-ordinates into an equation of polar co-ordinates.

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

The transformed equation of r^(2)cos^(2)theta = a^(2)cos 2theta to cartesian form is (x^(2)+y^(2))x^(2)=a^(2)lambda , then value of lambda is

(b) Transfer the equation r=a cos theta of polar co-ordinates into an equation of Cartesian co-ordinates.