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

• radian

• an angle whose terminal sides lies on an axis

• radian measure

• 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

• arc length

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

• quadrantal angle

• the length of the curve formed by an arc

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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

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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