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The Unit Circle. Quadrant I. Aim: Use the unit circle in order to find the exact value of a trigonometric expression. RememBer. Find the length of the missing side:. 1. y. 1. 1. y. y. x. x. x. Aim: Use the unit circle in order to find the exact value of a trigonometric expression. - PowerPoint PPT Presentation
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Q U A D RA N T I
THE UNIT CIRCLE
REMEMBER
• Find the length of the missing side:
1 1 1
x
y
x
y
x
y
Aim: Use the unit circle in order to find the exact value of a trigonometric expression.
THE UNIT CIRCLE
• Draw a circle whose center at the origin, (0, 0), and has a radius of 1.
1
1
1
1
1
Aim: Use the unit circle in order to find the exact value of a trigonometric expression.
QUADRANT I
30°
( , )1
45°
( , )
160°
( , )
( , )
( , )
11
Aim: Use the unit circle in order to find the exact value of a trigonometric expression.
• Place Special Triangles into the first quadrant of the Unit Circle then label the points created.
Soh Cah Toa:Aim: Use the unit circle in order to find the exact value of a trigonometric expression.
CRITICAL ANGLE TABLE
0° 30° 45° 60° 90°
Sin
Cos
Tan
Aim: Use the unit circle in order to find the exact value of a trigonometric expression.
EXACT VALUE
The drawing of the Unit Circle (first quadrant) or the table just created can be used to find the exact value of the following trigonometric expression:
Find the exact value of
Aim: Use the unit circle in order to find the exact value of a trigonometric expression.