Reference Angles and Solving for Exact Trigonometric Values

Reference Angles and Solving for Exact Trigonometric Values

Unit Circle Time! l l Fill out as much as you can of out the first quadrant of the unit circle from memory. Then fill in the rest from your notes when you can’t remember any more. DON’T FORGET TO PUT YOUR NAME ON THE UNIT “QUADRANT”! I’m collecting this for a classwork grade.

Solve for the reference angle for the radian measures below:

Reference Angles Matching Activity! l l l Match each of the radian measures (in black ink) to their reference angles (in blue, red, or green ink). There will be more than one radian measure for each reference angle!!! Then indicate in which the quadrant the angle is.

Solving for Exact Trig Values l l Step 1: Solve for the coterminal angle between 0 and 2π if necessary Step 2: Solve for the reference angle (Note the quadrant) Step 3: Identify the correct coordinates of the angle (Make sure the signs of the coordinates match the quadrant!) Step 4: Solve for the correct trig ratio (Rationalize the denominator if necessary)

Example #10: Coterminal Angle: Reference Angle:

Example #10: Coordinates: Sine: Cosine: Tangent:

Example #11: Coterminal Angle: Reference Angle:

Example #11: Coordinates: Sine: Cosine: Tangent:

Example #12: Coterminal Angle: Reference Angle:

Example #12: Coordinates: Sine: Cosine: Tangent:

Your Turn: l Complete problems 14 – 20.

Exit Ticket l 1. Solve for the exact values of the following: 2. 3.