Precalc 5.3 Notes.notebook
Precalc. Sec 5.3
Solving Trig. Equations
Main Idea: Solve for the angle(s) that make the equation true.
In order to solve trig. equations, you will need to use inverse trig functions. compared to
Precalc 5.3 Notes.notebook
How to Verify Solutions
• plug angle(s) into equation to see if it make the equation true Example
Verify that and
are solutions to Precalc 5.3 Notes.notebook
Tips to Solving Trig. Equations
• use algebriac steps to get the trig. function by itself on one side of equal sign.
• you may need to ­factor the expression, ­use trig identities to make the expression simpler, or into terms of a single trig function.
• once you isolate trig. function, use the unit circle to solve for the angle(s)
Precalc 5.3 Notes.notebook
Example
Solve the equation for End Day 1, please try # 1­34
Precalc 5.3 Notes.notebook
Precalc 5.3 Notes.notebook
5.3 Day 2
Example Solve the equation for Precalc 5.3 Notes.notebook
Precalc 5.3 Notes.notebook
Approximate the solutions to End Day 2 Please finish worksheet.