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QUADRANT I THE UNIT CIRCLE

QUADRANT 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

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Page 1: QUADRANT 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

Q U A D RA N T I

THE UNIT CIRCLE

Page 2: QUADRANT 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

REMEMBER

• Find the length of the missing side:

1 11

x

y

x

y

x

y

Aim: Use the unit circle in order to find the exact value of a trigonometric expression.

Page 3: QUADRANT 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

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.

Page 4: QUADRANT 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

QUADRANT I

30°

( , )

1

45°

( , )

1

60°

( , )

( , )

( , )

1

1

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.

Page 5: QUADRANT 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

Soh Cah Toa:Aim: Use the unit circle in order to find the exact value of a trigonometric expression.

Page 6: QUADRANT 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

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.

Page 7: QUADRANT 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

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.

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