Explore the fundamentals of polar equations in this 30-minute tutorial from blackpenredpen. Learn to convert polar equations to Cartesian form, including examples with trigonometric functions like secant and tangent. Practice finding slopes of tangent lines and derivatives for various polar curves. Master techniques for handling complex polar equations, such as those involving squared terms and inverse relationships. Enhance your understanding of calculus and geometry through practical problem-solving in both polar and Cartesian coordinate systems.
Overview
Syllabus
Convert r = 4sec(theta) to a cartesian equation.
Convert a polar equation to a cartesian equation: circle!.
Convert r=tan(theta)*sec(theta) to Cartesian.
Slope of the tangent line to the polar curve r = tan(theta) at pi/3.
dy/dx for r=sec^2(theta).
Convert r^2cos(2theta)=1 to Cartesian.
dy/dx for r = 1/theta at pi.
Taught by
blackpenredpen
