Trig. Functions & the Unit Circle

Trigonometry & the Unit CircleIf s a real number and P = (x,y) is apoint on the unit circle that corresponds to , then:

`

VERY importantTrig. Identity

What is the Unit Circle?•A circle with radius 1, centered at the

origin (0,0)

•Used to find the trigonometric ratios of each of any angle that is a multiple of 30 or 45.

Filling out unit circle Activity!

•Create a 45-45-90 triangle with hypotenuse 1

•Create a 30-60-90 triangle with hypotenuse 1

•Label the lengths of each side•Use these triangles to find the x-y

coordinate of each angle’s point of intersection with the unit circle.

The 45-45-90 Triangle

1

The 30-60-90 Triangle

1

30

60