90 270 terminal side 180 180 270 90

Coterminal Angles We can have infinitely many positive AND negative coterminal angles. For degrees,

Converting • To convert from degrees to radians: multiply by • To convert from

Reference Angles 1. Sketch the angle 2. Draw a line from the terminal side

Trig Functions – Right Triangles Identifying the legs is relative to the angle opposite

sin all tan cos How to remember which are positive where: All Spiders Taste

Trig Functions First, sketch the point. Second, create a right triangle always using the

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90° -270° terminal side 180° -180° 270° -90° Positive angles are measured counterclockwise. Negative angles are measured clockwise. initial side: is always the positive xaxis 0°, 360° -360°

Coterminal Angles We can have infinitely many positive AND negative coterminal angles. For degrees, add 360° for positive coterminal angles, subtract 360° for negative coterminal angles. Example: Find a negative coterminal angle for 423°. answer: -297°

Converting • To convert from degrees to radians: multiply by • To convert from radians to degrees: multiply by • Example: Convert to radians

Reference Angles 1. Sketch the angle 2. Draw a line from the terminal side to the X-Axis (never to y-axis) to create a right triangle 3. Subtract to find size of reference angle, answer is always positive and between 0° and 90°.

Trig Functions – Right Triangles Identifying the legs is relative to the angle opposite (opp) hypotenuse (hyp) adjacent (adj) SOH-CAH-TOA hypotenuse (hyp) opposite (opp)

sin all tan cos How to remember which are positive where: All Spiders Taste Crunchy A: all S: sin T: tan C: cos

Trig Functions First, sketch the point. Second, create a right triangle always using the x-axis for one of the legs. Third, label the legs and find the hypotenuse. Find the value 13 12 for the trig functions paying attention to 5 the quadrant the point is in. .