Warm up…. Draw the special right triangles… Find the side lengths for a triangle of radius 1:. Section 4.2 THE UNIT CIRCLE. The Unit Circle:. The set of points at a distance 1 from the origin, a circle of radius 1. x 2 + y 2 = 1.
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THE UNIT CIRCLE
The set of points at a distance 1 from the origin, a circle of radius 1
x2 + y2 = 1
Terminal Points: the point (x, y) from a distance around a circle starting from (1,0 )
y = x
Therefore, we can find other terminal points on this unit circle.
*A correctly completed UNIT CIRCLE will
earn a 5 pt pass!!!
f( t + c) = f(t) “c” is the period…… try to always use 2π
*this will help you evaluate numbers when they are not on the unit circle
(ex) Evaluate sin 13π
More practice…. Pg . 278 # 30 – 36 even
cos (-t) = cos (t) sec (-t)=sec (t)
sin (-t) = - sin t csc (-t) = -csc t
tan (-t) = - tan t cot (-t) = - cot t
The steps, if you don’t remember are on page 277 at the bottom!!