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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