Hey guys, i'm stuck on these 3 probs. Polar stuff is hard for me to grasp, cuz i've been doing rectangular my whole math life... any and all help much appreciated. The second one is a cool kind that I usually like to do, but ...
1. Convert the polar equation r = acos(x) + bsin(x) to rectangular form. Show that the resulting equation represents a circle by completing the square on x and y. State the center and radius.
2. A forest ranger at observation post A sights a fire at location C in the direction N65 degrees E. Another ranger at observation post B, 8 kilometers directly east of A, sights the same fire at N32.2 degrees W. How far is the fire from observation post A? Draw and label a triangle using the given info. Estimate to 2 decimal places.
3. Sketch the graph of (x - 2)^2 + y^2 = 4. then find an equation of the graph in polar form.