1. 5.3 Solving Trigonometric Equations Use standard algebraic techniques like collecting like terms and factoring.

2. Example 1: Solving a Trig Equation
Isolate the trig function
Use an inverse function

3. Multiple solutions
But p/3 is not the only angle that will make the equation work!

4. Multiple Solutions But that’s still not it!!
The sine and cosine functions have a period of 2π.
So every interval of 2π, the solutions repeat.
The total solutions are:
and

5. Example 2: Collect Like Terms

6. Example 3: Extracting Square Roots
Solve on the interval [0, 2π)
Isolate the trig function
Use an inverse function

7. Example 4: Quadratic Types
If an equation looks quadratic, FACTOR IT!!
Keep in mind that sine and cosine must be less than 1!

8. Example 5: Rewriting as one function

9. Example 6: Squaring/Converting

10. You Try It!

11. Graphical Solutions on [0, 2π)

13. Homework:
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