Lesson: Solving Trigonometric Equations with the Double-Angle Identity Mathematics

In this lesson, we will learn how to solve trigonometric equations using the double-angle identity.

Lesson Plan

Students will be able to

find the general solution, or find the solutions given a particular range, to a trigonometric equation that can be simplified using the double-angle identities (or the half-angle identities).

Students should already be familiar with

Students will not cover

trigonometric equations requiring the use of triple-angle formulas (or higher order).

Q1:

Find in degrees given where is a positive acute angle.

Q2:

Find the general solution to the equation .

Q3:

Find the set of possible solutions of given .