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initial side: is always the positive x-axis

90° -270°. initial side: is always the positive x-axis. terminal side. 180° -180°. 0 °, 360° -360°. 270° -90°. Positive angles are measured counterclockwise. Negative angles are measured clockwise. Coterminal Angles. We can have infinitely many positive AND negative coterminal angles.

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initial side: is always the positive x-axis

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  1. 90° -270° initial side: is always the positive x-axis terminal side 180° -180° 0°, 360° -360° 270° -90° Positive angles are measured counterclockwise. Negative angles are measured clockwise.

  2. 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°

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

  4. Reference Angles • Sketch the angle • 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°.

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

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

  7. 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 for the trig functions paying attention to the quadrant the point is in. 13 12 5

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