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- 6. (i) Convert the equation (x – 2)2 + y? = 4 from cartesian to polar (ii) Convert the equation r2 = 4r sin 0 from polar to cartesian.2. Find the polar equations of ALL the tangent lines to r = sin (30) at the origin.Find the equation of the line tangent to the polar curve at the point r=2cos(theta/3), theta=pi/4
- 3. (b) Identify the curve by transforming the given polar equation to rectangular equations. r= 6 3 cos 0+2 sinFind the polar equation for the Cartesian curve x² - y² = r = 1 r sin 20 = 1 r = sec 20 r = cos 20 cos 201 x² + y².Sketch the graph and the curve represented by x = 3 cos 0 and y = 4 sin 0 ,0