Introduction to Unit Circle

The x value on the unit circle is defined by which function?

The y value on the unit circle is defined by which function?

Why do we want to think of trig functions instead of triangle trig when we start looking at the unit circle?

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Estimate the value of \theta

What is the radius of the unit circle?

• 0

• 1

• 1/2

• √2/2

Match the following vocabulary related to the Unit Circle

• radian measure

• an angle whose terminal sides lies on an axis

• arc length

• the length of the curve formed by an arc

• radian

• the ratio of the arc length formed by an angle divided by the r of that circle

• Pythagorean Identity

• measure of a central angle of a circle that intercepts an arc = in length to the r of that circle

• quadrantal angle

• states that the square of the cosine of a given angle + the square of the sine of that angle = 1

What is the radius of a unit circle?

• 1

• 2

• 1/2

• 0

• Choice 1

• Choice 2

• Choice 3

• Choice 4

What is this jawnski called?

Select ALL that apply: Which of the following is a point on the unit circle?

• (1, 1)

• (-1, 0)