Initial side: is always the positive x-axis terminal side Positive angles are measured counterclockwise. Negative angles are measured clockwise. 0°, 360°

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Presentation transcript:

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

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 hypotenuse (hyp) Identifying the legs is relative to the angle adjacent (adj) opposite (opp) hypotenuse (hyp) adjacent (adj) opposite (opp) SOH-CAH-TOA

How to remember which are positive where: All Spiders Taste Crunchy A: all S: sin T: tan C: cos all sin tan 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 for the trig functions paying attention to the quadrant the point is in.