Sine Cosine Degrees

We use the Unit Circle to construct the sine and the cosine functions. The unit circle is called the unit circle because:

• It is only one circle

• The area of the circle is equal to one

• Because its radius is equal to one

• Because its circumference is equal to one

Tags

CCSS.HSF.TF.A.2

sin 210°

Tags

CCSS.HSF.TF.A.2

cos 90°

• 0

• 1

• -1

• undefined

Tags

CCSS.HSF.TF.A.2

cos 135°

• √2/2

• -√2/2

• √3/2

• -√3/2

Tags

CCSS.HSF.TF.A.2

Which of the equations matches the graph shown.  

• y = 2sin(x)

• y = 2sin(2x)

• y = 2cos(x)

• y = 2cos(2x)

Tags

CCSS.HSF-IF.C.7E

What function is this?

• y=-sin(x)

• y=sin(x)

• y=2sin(x)

• y=0.5sin(x)

Tags

CCSS.HSF-IF.C.7E

What is the equation of the graph?

•  y = 2 cos x

• y = sin x

• y = 2 sin x

• y = sin 2x 

Tags

CCSS.HSF-IF.C.7E

Tags

CCSS.HSF-IF.C.7E

The 4 key features that we'll use for sine/cosine graphs are

M: ​ (a)   ​

A: ​ (b)  

P: ​ (c)  

PS:​ (d)  

• midline

• amplitude

• period

• phase shift

Tags

CCSS.HSF-IF.C.7E

Match the following

• sin graph

• 
• cos graph

• 
• -sin graph

• 
• -cos graph

• 

Tags

CCSS.HSF-IF.C.7E