11.4 Review for Graphing Sine and Cosine

Graphing Sine and Cosine

By Blake Jensen

Match

Match each trig function with their ratio

• sin

• cos

• tan

• csc

• sec

o/h

a/h

o/a

h/o

h/a

• o/h

• a/h

• o/a

• h/o

• h/a

Match

Match each trig function with their reciprocal

• sin

• cos

• tan

csc

sec

cot

• csc

• sec

• cot

Match

Match the correct trig functions to their corresponding part

• sine

• cosine

• tan

y

x

y/x

• y

• x

• y/x

Conversion

Reference angles are useful for creating a triangle with 90^o.


The next slide will help with a chart that will help you find any reference angle.

Reference angle

Quick Review

Math Response

What is $$\frac{7\pi}{4}$$ in degrees?

Type answer here

Correct Answer: 315

Deg^°

Rad

Dont forget that θ just means angle.

Each quadrant is split into 90^o sections.

Any reference angle < 90^o

​

Understanding quadrants

Match

Match each quadrant with their angles of rotation range.

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

0-90

90-180

180-270

270-360

• 0-90

• 90-180

• 180-270

• 270-360

Reference angle charts

Math Response

What is the reference angle for 315^o

Type answer here

Correct Answer: 45

Deg^°

Rad

The unit circle is a quick guide that helps you find values of rotational angles.


It's a master list of radian and degree measures for special right triangles

​

Unit Circle

Both triangles have a special side ratio, which is why they are often used.

45, 45, 90

Just remember that the smallest side is opposite of the 30 degree angle.

30, 60, 90

Sine is the y value of the arm as it rotates.

Since it starts at a height of 0, Sine starts at the midline

Sine = y

Remember that cosine corresponds to the x value.

It's starts at 1, which is the amplitude

Cosine = x

Graphing Sine and Cosine

Home

Open in new tab

Copy link

Home

Open in new tab

Copy link

asin(bx) + c

a = amplitude change

b = period change

c = midline change

​acos(bx) + c