Learn to convert a rectangular equation to polar

The video tutorial explains how to convert coordinate points into polar equations using trigonometric identities. It begins with a review of the conversion formulas for X and Y in terms of R and Theta. The instructor then demonstrates the algebraic steps to solve for R, including dividing by cosine squared of Theta. The tutorial concludes with simplifying the expression to tangent of Theta times secant of Theta, referencing previous lessons on trigonometric simplification.

What are the formulas for converting Cartesian coordinates to polar coordinates?

• X = R sine of Theta, Y = R cosine of Theta

• X = R secant of Theta, Y = R tangent of Theta

• X = R cosine of Theta, Y = R sine of Theta

• X = R tangent of Theta, Y = R secant of Theta

What is the first step in converting a Cartesian equation to a polar equation?

• Multiply both sides by R

• Subtract R from both sides

• Add R to both sides

• Plug in the polar coordinate formulas and solve for R

How do you isolate R in the equation R sine of Theta = R squared cosine squared of Theta?

• Multiply by cosine squared of Theta

• Divide by R

• Subtract cosine squared of Theta

• Add sine of Theta

What is the simplified form of the expression R = sine of Theta divided by cosine squared of Theta?

• Cosine of Theta times tangent of Theta

• Sine of Theta times cosine of Theta

• Tangent of Theta times secant of Theta

• Secant of Theta times sine of Theta

Which trigonometric identity is used to simplify sine of Theta over cosine of Theta?

• Secant of Theta

• Tangent of Theta

• Cotangent of Theta

• Cosecant of Theta