http://www.ck12.org Chapter 6. Analytic Trigonometry
6.5 Trigonometric Equations
Here you will solve equations that contain trigonometric functions. You will also learn to identify when an equation
is an identity and when it is has no solutions.
Solving a trigonometric equation is just like solving a regular equation. You will use factoring and other algebraic
techniques to get the variable on one side. The biggest difference with trigonometric equations is the opportunity
for there to be an infinite number of solutions that must be described with a pattern. The equation cosx=1 has
many solutions including 0 and 2π. How would you describe all of them?
Watch This
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/61360http://www.youtube.com/watch?v=26EWKD2Xha4 James Sousa: Solve Trigonometric Equations I
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/61361http://www.youtube.com/watch?v=ABKO3ta_Azw James Sousa: Solve Trigonometric Equations II
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/61364http://www.youtube.com/watch?v=7thuFLqC7z0 James Sousa: Solve Trigonometric Equations III
Guidance
The identities you have learned are helpful in solving trigonometric equations. The goal of solving an equation
hasn’t changed. Do whatever it takes to get the variable alone on one side of the equation. Factoring, especially
with the Pythagorean identity, is critical.