This document provides instructions for a lab on trigonometric functions. Students are asked to: 1) Graph and understand variations of tan(x), cot(x), sec(x), and csc(x) 2) Use inverse trigonometric functions such as sin^-1, cos^-1, and tan^-1 3) Evaluate inverse trig functions with a calculator 4) Solve applied problems involving composite functions with inverse trig functions The document includes sample problems such as graphing a tangent function, finding exact trig function values, and solving an applied problem about the angle of elevation to a building. Students are asked to show their work and submit their answers in an organized written document for evaluation.

1. MA1310: Week 4 Other Trigonometric Functions
This lab requires you to:
· Understand and graph variations of y = tan x.
· Understand and graph variations of y = cot x.
· Understand and graph variations of y = csc x and y = sec x.
· Understand and use the inverse sine function.
· Understand and use the inverse cosine function.
· Understand and use the inverse tangent function.
· Use the calculator to evaluate inverse trigonometric functions.
· Find exact values of composite functions with inverse
trigonometric functions.
· Solve applied problems.
Answer the following questions to complete this lab:
1. The graph of a tangent function is given below. Find the
equation of the graph in the form y = A tan (Bx – C).
a.
Find A. The y-coordinate of the points on the graph and of the
way between the consecutive asymptotes are given by –1 and 1
respectively.
b. Find the period of the function (distance between two
consecutive asymptotes).
c. Find the coefficient of x, that is, B.
d. Find the phase shift of the function (horizontal shift).
e. Find the value of C.
f. What is the correct equation of the given graph? Give your
reasoning.
i.

2. ii.
iii.
iv.
2. Find the exact value of:
a.
b.
c.
d.
e.
3. Use the calculator to find the value of sin–1 0.47 to two
decimal places.
4. Find the angle of elevation from the point on the ground 90
feet from the base of a building that is 200 feet tall.
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

3. InitialName_LastName_Lab4.1_Date.
Evaluation Criteria:
· Did you show the appropriate steps to solve the given
problems?
· Did you support your answer with appropriate rationale
wherever applicable?
· Were the answers submitted in an organized fashion that was
legible and easy to follow?
· Were the answers correct?
Page 1
p
-
4
-
4
x
y
1
4
3
4
tan()
2
yx
p
=+
tan()
yx
=+p
tan()

4. yx
=-+p
tan()
2
yx
p
=-+
1
3
sin
2
-
1
3
cos()
2
-
-
1
tan(1)
-
-
1
4
cos(cos)
3
-
p
1
7
sin(tan)
24
-
2
p
-

5. 2
p
p