Math_ASS
10/6/2020
Southern
New Hampshire University –
10/6/2020 Southern New Hampshire University –
10/6/2020
Question 1: (8 points)
Match each trigonometric function with one of the graphs.
__________
Show your work and explain, in your own words, how you arrived at your answers.
__________
Question 2: (5 points)
Enter the exact answers.
Stretching factor = ____________
Period: P = __________
Enter the asymptotes of the function on the domain [−P,P].
To enter π, type Pi.
The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x − 1). The order of the list does not matter.
Asymptotes: x = __________
(
a)
(b)
(c) (d)
Question 3: (5 points)
Sketch two periods of the graph of the function p(x) = tan (x − ). Identify the stretching factor, period, and asymptotes.
Enter the exact answers.
Stretching factor = ____________
Period: P = __________
Enter the asymptotes of the function on the domain [−P, P].
To enter π, type Pi.
The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x − 1). The order of the list does not matter.
Asymptotes: x = __________
Select the correct graph of p(x) = tan (x − ).
(a)
(b)
(c) (d)
Question 4: (4 points)
a)
(b)
(c)
(d)
Question 5: (4 points)
Use the fundamental identities to fully simplify cos(−x)sin(−x)sec(−x).
Enclose arguments of functions in parentheses. For example, sin(2x).
cos(−x)sin(−x)sec(−x) = __________
Question 6: (4 points)
Simplify the trigonometric expression below by writing the simplified form in terms of sinx.
Enclose arguments of functions in parentheses. For example, sin(2x).
tanx+cotx
secx = __________
Question 7: (8 points)
Using the sum and difference of cosines formula, find the exact value of
Enclose numerators and denominators in parentheses. For example, (a − b)/(1 + n).
Show your work and explain, in your own words, how you arrived at your answer.
__________
Question 8: (8 points)
Using the sum and difference of sines formula, find the exact value of
Enclose numerators and denominators in parentheses. For example, (a − b)/(1 + n).
Show your work and explain, in your own words, how you arrived at your answer.
__________
Question 9: (4 points)
and x is in quadrant I, find the exact value of sin(2x), cos(2x), and tan(2x) algebraically without solving for x.
Enclose numerators and denominators in parentheses. For example, (a − b)/(1 + n).
sin(2x) = __________ cos(2x) = __________ tan(2x) = __________
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