Trigonometry Slides

Introduction to Trig

• Terminal side- the ray at which the angle ends.
• An angle in standard position has a vertex on the origin and the initial side of the positive axis.. It basically means that one ray of the angle is on the positive axis.
• Co terminal angles have the same terminal side.
• Quadrant angles are angles that lie on one of the four axis (90, 180,220, and 360).
• Positive and negative angles=
• Positive= counter clockwise. Negative= clockwise.
• One radian= wrap the circumference around the circumference around the circle.
• 2pi= one time around (6.2 radians).

Radian Measure of a Central Angle:

• theta= s/r
• S= arc length
• r=radius
• theta=angle measure
• Remember that angle measures can be written in longitude and latitude.

Trig FUNctions:)

• Sin= opp/hyp csc= hyp/opp
• Cos= adj/hyp sec= hyp/adj
• tan= opp/adj cot= adj/opp
• Each function has an inverse.
• Special triangles include:
• -45 degree triangles -30-60-90 triangles