Sine, Cosine, and Tangent of Unit Circle

Based on your unit circle cos(0^o)=

• 1

• 0

• -1

• 1/2

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CCSS.HSF.TF.A.2

Based on your unit circle sin(90^o)=

• 1/2

• 0

• -1

• 1

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CCSS.HSF.TF.A.2

sin π/4

• √2∕2

• 1/2

• √3/2

• 0

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CCSS.HSF.TF.A.2

cos 5π/6

• -1/2

• 1/2

• √3/2

• -√3/2

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CCSS.HSF.TF.A.2

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CCSS.HSF.TF.A.2

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.

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CCSS.HSF.TF.A.2

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

• y coordinate

• Cos

• Sin

• Cot

• x coordinate

• Tan

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CCSS.HSF.TF.A.2

What value on the unit circle represents sine?

• y

• x

• 1

• 2

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CCSS.HSF.TF.A.2

• 1
• 2
• 3
• 4

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CCSS.HSF.TF.A.2

Using the unit circle x-values correspond to ​ (a)   , y-values correspond to ​ (b)   , and y-values divided by x-values correspond to ​ (c)  

• cosine

• sine

• tangent

• secant

• cosecant

• cotangent

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CCSS.HSF.TF.A.2