Unit 3 - Applications of Trigonometry

Unit 3 Review Problems

This document provides a good source of problems to solve in preparation for Test 3. You should also study by re-solving problems from class, past quizzes, and online homework problems. Answers to the problems in this document are provided at the end. On a test, you will earn most of the available points for a given problem by carefully showing the steps taken to reach your answer, rather than for the final answer itself.

Unit 3 Learning Objectives:

• Given some information about a triangle's angles and/or sides lengths, solve for the unknown angles and/or side lengths using the Law of Sines and/or Law of Cosines

• Solve applied problems using the Law of Sines and/or Law of Cosines

• Convert between points represented in polar and rectangular coordinates 

• Give multiple, equivalent representations for a given point in polar coordinates

• Match given polar equations to their corresponding graphs

• Graph equations in polar coordinates, given either an equation or a graph showing r as a function of theta in rectangular coordinates

• Identify the intersection points of two polar curves

• Eliminate the parameter in a set of parametric equations to obtain an equation in rectangular coordinates

• Graph a parametric curve and indicate the direction of the parameterization

• Write a set of parametric equations to describe a curve given by a rectangular equation

• Parametrize line segments, circles, and ellipses

• Write a vector in component form

• Add, subtract, form scalar multiples and linear combinations of vectors described both geometrically and in component form

• Compute the magnitude of a given vector

• Write a unit vector pointing in a specified direction

• Compute the dot product of two vectors

• Find the angle between two given vectors