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Sine, Cosine, and Tangent of Unit Circle

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Used 1+ times

Sine, Cosine, and Tangent of Unit Circle
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19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Based on your unit circle cos(0o)=

1

0

-1

1/2

Tags

CCSS.HSF.TF.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Based on your unit circle sin(90o)=

1/2

0

-1

1

Tags

CCSS.HSF.TF.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

sin π/4

√2∕2

1/2

√3/2

0

Tags

CCSS.HSF.TF.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

cos 5π/6

-1/2

1/2

√3/2

-√3/2

Tags

CCSS.HSF.TF.A.2

5.

OPEN ENDED QUESTION

1 min • 1 pt

Find the sine, cosine, and tangent for the following point on the unit circle. 


(Hint: What is the relationship between coordinates on the unit circle and sine, cosine, and tangent?)

(29, 779)\left(\frac{2}{9},\ \frac{\sqrt{77}}{9}\right)  

Evaluate responses using AI:

OFF

Tags

CCSS.HSF.TF.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Based on the unit circle, what is the value of sin?

y/r

x/r

r/y

y/x

Answer explanation

The sin is always the y coordinate divided by the radius. With the unit circle that radius is 1.

Tags

CCSS.HSF.TF.A.2

7.

MATCH QUESTION

1 min • 1 pt

Match the trig function with it value on the unit circle:

x coordinate

Tan

y coordinate

Cot

xy\frac{x}{y}

Sin

yx\frac{y}{x}

Cos

Tags

CCSS.HSF.TF.A.2

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