unit circle. review: unit circle – a circle drawn around the origin, with radius 1

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UNIT CIRCLE

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Page 1: UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1

UNIT CIRCLE

Page 2: UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1

Review:

Page 3: UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1

• Unit Circle – a circle drawn around the origin, with radius 1

Page 4: UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1

You can create right triangle using the unit circle, using the radius as the triangle hypotenuse

Remember..

Sinθ = = y

Cosθ = = x

Tanθ =

Page 5: UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1

Examples:Use the unit circle to find:

1) Cos (180°)

2) Sin(-90°)

Page 6: UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1

• Using 30-60-90 triangles, find the sine, cosine, and tangent of 30 °in RADICAL form assuming the angle is on the unit circle.. (no decimals)

Page 7: UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1

• Using 45-45-90 triangles, find the sine, cosine, and tangent of 45 °in RADICAL form assuming the angle is on the unit circle.. (no decimals)

Page 8: UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1

+ +

- -

- +

+ -

Remember the signs of the quadrants

Page 9: UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1
Page 11: UNIT CIRCLE. Review: Unit Circle – a circle drawn around the origin, with radius 1

1) What is the sine of 135?

2) What is the cosine of 210?

3) What is the cosine of 30?

4) What is the sine of 390?

5) What is the cosine of -90?

6) What is the tangent of 45?

7) What is the cosine of π/3?