Trig. Functions & the Unit Circle. Trigonometry & the Unit Circle VERY important Trig. Identity.
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Trig. Functions & the Unit Circle
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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.
Transcript of Trig. Functions & the Unit Circle. Trigonometry & the Unit Circle VERY important Trig. Identity.
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:
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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
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The 30-60-90 Triangle
1
30
60