unit circle lesson 2016.notebook
March 30, 2016
Draw an equilateral triangle and square as shown. Mark any right angles and use the Pythagorean Theorem to find the indicated sides.
?
?
1
1
?
?
Draw an equilateral triangle and square as shown. Mark any right angles and use the Pythagorean Theorem to find the indicated sides.
?
?
1
1
?
?
1
unit circle lesson 2016.notebook
March 30, 2016
"Tall"
"Short"
"Isosceles"
"Tall"
"Short"
"Isosceles"
2
unit circle lesson 2016.notebook
March 30, 2016
The Unit Circle
r = 1
Equation:
The Unit Circle
r = 1
Equation:
3
unit circle lesson 2016.notebook
March 30, 2016
What is the sine, cosine and tangent of 30 degrees? What is the sine, cosine and tangent of 30 degrees? 4
unit circle lesson 2016.notebook
March 30, 2016
What is the sine, cosine and tangent of 45 degrees? What is the sine, cosine and tangent of 45 degrees? 5
unit circle lesson 2016.notebook
March 30, 2016
What is the sine, cosine and tangent of 60 degrees? What is the sine, cosine and tangent of 60 degrees? 6
unit circle lesson 2016.notebook
March 30, 2016
30O
45O
60O
30O
45O
60O
S
C
T
S
C
T
7
unit circle lesson 2016.notebook
March 30, 2016
What about other quadrants?
`
What about other quadrants?
8
unit circle lesson 2016.notebook
March 30, 2016
Step 1: Where is the angle? ­ Find it on the circle
­ Tall, short or Isosceles?
­ Sketch a picture to help
Step 2: What is the value?
­ Sine, cosine or tangent?
­ What's the length of the leg?
Step 3: What's the sign?
­ Which quadrant (A­S­T­C)?
­ Up, down, left or right?
Step 4: Put it all together!
Find each exact value... 9
unit circle lesson 2016.notebook
March 30, 2016
Find each exact value... 10