1. Solving Trigonomet ric Equations Part 2 - Equations with “ Multiple Angles ” and Part 3 - Non - Standard Values Dr. Shildneck

2. Dealing with Multiple Angles ▪Solve the equation to isolate the trig function ▪Solve the equation for ( exactly ) what is inside the trig function ( the number AND variable ) ▪Solve the resulting equations for the variable. ▪Determine the period of the function ( s ) in the problem. ▪Remember, period is how long it takes the function to repeat. ( Furthermore, b tells us how many times more answers we should get ) ▪Use the period to find the rest of the answers that are required.

3. Example 1 ▪Solve the equation on the interval [0, 2 π ).

4. Example 2 ▪Solve the equation on the interval [0, 2 π ).

5. Example 3 ▪Solve the equation on [0, 2 π ).

6. Example 4 ▪Solve the equation on [0, 2 π ).

7. ASSIGNMENT Assignment WS #7 – Solving Equations with Multiple Angles

8. Dealing with NON - Standard Values ▪Determine in which quadrants the answers lie. ▪Solve the equation to isolate the trig function ▪Solve the equation for what is inside the trig function ( using the inverse capability of your calculator ) ▪Determine the REFERENCE angle for this answer ▪Use the reference angle to determine the “ other ” answer ▪Apply the rules for multiple of angles if necessary

9. Example 4 – Using Inverses ▪Solve the equation on [0, 2 π ). Round to the nearest hundredth.

10. Example 5 – Using Inverses ▪Solve the equation ( approximate values ).

11. ASSIGNMENT Assignment WS #8 – Solving Equations with Non - Standard Values