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).

Q1:

Find the general solution to the equation .

Q2:

If and , find the value of .

Q3:

Find all the solutions of the equation for . Write the answer approximated to the nearest whole angle in degrees.