Introduction to the Unit Circle

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

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CCSS.HSF.TF.A.2

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

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CCSS.HSF.TF.A.2

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

Tags

CCSS.HSF.TF.A.2

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CCSS.HSF.TF.A.2

What is this jawnski called?

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CCSS.HSF.TF.A.2

Match the following vocabulary related to the Unit Circle

• arc length

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

• radian measure

• 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

• an angle whose terminal sides lies on an axis

• quadrantal angle

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

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CCSS.HSF.TF.A.1

What is the radius of a unit circle?

• 1

• 2

• 1/2

• 0

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CCSS.HSF.TF.A.2

What is the radius of the unit circle?

• 0

• 1

• 1/2

• √2/2

Tags

CCSS.HSF.TF.A.2

Unlike right triangle trigonometry, sine and cosine may be negative. Thinking about how sine, cosine, and tangent relate to (x,y) coordinate pairs on the unit circle, find the quadrants where: cosine is positive: ​ (a)   ​& (b)   cosine is negative: ​ ​ (c)   &​ (d)  

• I

• IV

• II

• III

Tags

CCSS.HSF.TF.A.2

Tags

CCSS.HSF.TF.A.2