Algebra homework

See attacted file.

MA

1

3

10: Week 3 Graphs of Sine and Cosine Functions

This lab requires

y

ou to:

· Use the definitions of trigonometric functions of any angle.

· Use the signs of the trigonometric functions.

· Find reference angles.

· Use reference angles to evaluate trigonometric functions.

Trigonometric functions are used to model data and a variety of physical phenomena such as astronomy, surveying, highway design, GPS, and aerial photography. Click here to refer to the basics of trigonometry and answer the following questions to complete this lab:

1. Find the e

x

act value of:

a. sin 300°

b. tan (40

5

°) (Hint: 405° = 360° + 45°)

c. cot ( (Hint: )

2. If sin θ < 0 and tan θ < 0, then in which quadrant does θ lie?

3. Find the exact value of sin θ, if cos θ = and θ lies in quadrant IV.

4. Define the following for a sinusoidal graph in general.

a. Amplitude

b. Period

c. Phase Shift

5.

Given the function

a. Find the amplitude.

b. Find the period.

c. Identify the correct graph from the following choices:

i.

y
x
5

-5

1

-1

3

-3

ii.

y
x
5
-5
1
-1
3
-3

iii.

y
x
5
-5
1

-2

3
-3

6.

Determine the amplitude, period, and phase shift of .

Submission Requirements: Answer all the questions included in the lab. You can submit your answers in a Microsoft Word document, or write your answers on paper and then scan and submit the paper. Name the file as InitialName_LastName_Lab3.1_Date.
Evaluation Criteria:
· Did you show the steps to solve each problem?
· Did you write thorough explanations for the short-answer questions?
· Did you accurately choose a problem that fits the criteria of each rule?
· Were the answers submitted in an organized fashion that was legible and easy to follow?
· Were the answers correct?

Page 3
2cos(3)
yx
=-p-
3sin2
yx
=p