Alegrba
ShanEn
week4_lab.docx
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.
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.
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.
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 2
2
p
p
p
-
4
-
4
x
y
1
4
3
4
tan()
2
yx
p
=+
tan()
yx
=+p
tan()
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
-
