1. Circular Functions & Trig Identities 2: Solving Trig Equations
Homework
Haese & Harris 3rd Edition
Ex 8E p208 Q1, 2, 5 and 9
Ex 11A.3 p260 Q1, 2, 5, 6 & 7
REFERENCE CHART: Counting by degrees and radians
Abducted by an alien circus company, Professor Winters is forced to solve trigonometric equations in center ring.
DEGREES
RADIANS 0°
30°
45°
60°
90°
180°
270°
360°

2. Reference Angle
Reference angle (α) is the ________ angle formed between line OP and the _ _-axis (positive or negative branch).
The reference angle is always considered positive.
Examples: Find the reference angle:

3. Value of trigonometric ratios of a Given Angle
Find the value of:
STEPS for finding trig values of a given angle
Draw the angle.
Identify the Reference Angle (Acute angle formed with the x-axis)
Determine the trigonometric ratio for the reference angle (using special triangles where applicable).
Use CAST to determine the sign of the trigonometric ratio in that quadrant.

4. Find the exact value of…

5. Using Exact Values to Solve for θ

6. Solving Equations Using the Unit Circle
Solve the equation
Solve the equation

7. Solving Equations Using the Unit Circle
Solve the equation
Solve the equation

8. Solving Equations Using the Unit Circle
Given that and find