MM132 - Examination Six

1. Sketch the angle and find sec Ø if the terminal side of the angle passes through the point (-15, -8).

- 0.471

- 0.882

0.533

1.88

- 1.13

2. Find cos ß if cot ß = -4/3 and sin ß is positive.

3/5

- 4/5

- 3/4

3/4

- 3/5

3. Find all positive angles less than 360^o whose trigonometric function is: csc þ = - 3.85

15^o, 345^o

15^o, 165^o

165^o, 345^o

195^o, 345^o

15^o, 195^o

4. Use the calculator to evaluate arccot 1.546. Give the answer in rad.

0.574

0.647

0.798

0.643

None

5. Given y = 1.5 sin (3x + 90^o), find the phase shift.

90^o

- 90^o

- 30^o

30^o

None

6. Find the period of y = -2.5 cos (4x + 40^o).

10^o

- 10^o

90^o

- 90^o

None

7. Write the equation of a sine curve that has an amplitude of 5, a period of 540^o, and a phase shift of 20^o.

y = 5 sin(2x/3 + 20^o)

y = 5 sin(2x/3 - 20^o)

y = 5 sin(3x/2 + 20^o)

y = 5 sin(3x/2 - 20^o)

8. Write a single sine wave that is equivalent to y = 63.7 sin wt + 42.9 sin(wt - 38^o)

y = 101 sin(wt - 22^o)

y = 101 sin(wt + 22^o)

y = 101 sin(wt + 15^o)

y = 101 sin(wt - 15^o)

9. Write an equation for an alternating current that has a peak amplitude of 9 A, a frequency of 82 Hz, and a phase angle of 28^o.

y = 9 sin(515t - 28^o)

y = 9 sin(515t + 28^o)

y = 9 sin(82t + 28^o)

y = 9 sin(82t - 28^o)

10. Estimate the frequency to the following graph.

wpeD1.jpg (9721 bytes)

1.5

0.66

0.5

3.0

Course: MM132 - 31 Social Security (#########)