MAT136H1 Lecture Notes - Polar Coordinate System

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #2 (medium): finding the equation of the tangent. Any equation of a tangent line follows after linear slope intercept equation form: So the goal is to find the slope and at the given parameter value , plug into each of the parametric equations for coordinate. Then rearrange the equation to find the last value which is the -intercept. Then by the definition of equation, leave and but only fill in the and . Find the equation of the tangent to the curve at the point that corresponds to the given parameter value. Any equation of tangent is given by a linear equation: which requires slope and coordinate. Then the y-intercept component can be determined by working out the equation. need to be determined. and. Therefore the equation of the tangent to the parametric equations at the given.