(in feet) and t is the time (in seconds). Find the displacements when t = 2.(Round your answers to two decimal places.) 4. Find the point x, y. Ð. Ð...
Chapter 4 Review Short Answer 1. Find the value of given trigonometric function.
5. Solve for x as indicated.
Round your answer to four decimal places. cos(5.5) 2. Find the value of given trigonometric function.
Round your answer to four decimal places. cot(0.4) a4
3. The displacement from equilibrium of an
oscillating weight suspended by a spring is given by 1 y(t) cos 6t , where y is the displacement 4 (in feet) and t is the time (in seconds). Find the displacements when t 2.(Round your answers to two decimal places.)
6. Use a calculator to evaluate the trigonometric
function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.) sec 80 7. Use a calculator to evaluate the trigonometric
function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)
4. Find the point ÊÁË x, y ˜ˆ¯ on the unit circle that
corresponds to the real number
5 . Use your 6
results to evaluate cos t .
ÊÁ Á tan ÁÁÁÁ Á 5 Ë
ˆ˜ ˜˜˜ ˜˜ ˜ ¯
8. Find the indicated trigonometric value in the specified quadrant.
Function 9 sec 4
Quadrant III
Trignometric value tan
9. Select the graph of the function. (Include two
10. State the period of the function.
full periods.) y 8 cos
y tan
x 3
1
x 3
Name: ________________________
ID: A
11. Convert the angle measure from radians to
18. Use an inverse trigonometric function to write
as a function of x .
degrees. Round to three decimal places.
5 12. A plane is 48 miles west and 49 miles north of
an airport. The pilot wants to fly directly to the airport. What bearing should the pilot take? Answer should be given in degrees and minutes.
a 10x b x 10
13. A carousel with a 50-foot diameter makes 7
19. Use the value of the trigonometric function to
revolutions per minute. Find the angular speed of the carousel in radians per minute. Round your answer to two decimal places.
find sec (t ) . cos t
14. Evaluate (if possible) the sine, cosine, and
tangent of the real number.
3 4
20. Determine whether the function is even, odd,
t 3
or neither.
15. Solve the right triangle shown in the figure for
f (x ) x csc
all unknown sides and angles. Round your answers to two decimal places.
x 2
21. Sketch the graph of the function. Include two
full periods. y csc x 22. Find the value of given trigonometric function.
Round your answer to four decimal places.. csc
A 30, b 18
ÊÁ ÁË
16. Find the exact value of csc ÁÁÁÁ arctan
11 ˆ˜˜˜ ˜. 60 ˜¯
17. Use the properties of inverse trigonometric
functions to evaluate the expression. È ˘ sinÍÍÍÎ arcsin(0.7) ˙˙˙˚ 2
2 7
ID: A
Chapter 4 Review Answer Section SHORT ANSWER 1. ANS:
cos(5.5) 0.7087
PTS: 1 2. ANS:
REF: 4.2.54
PTS: 1 3. ANS:
REF: 4.2.58
PTS: 1 4. ANS:
REF: 4.2.59a
cot(0.4) –2.3652
y(2) 0.21 foot
cos t
3 2
PTS: 1 5. ANS:
x=
REF: 4.2.13
OBJ: Evaluate trig function using unit circle
4 3 3
PTS: 1 6. ANS:
REF: 4.3.65
PTS: 1 7. ANS:
REF: 4.4.81
sec 80 5.7588
tan
ÊÁ ÁÁÁ ÁÁ Á 5 Ë
ˆ˜ ˜˜˜ ˜˜ 0.7265 ˜ ¯
PTS: 1 8. ANS:
tan PTS: 1
REF: 4.4.86
65 4 REF: 4.4.74
1
ID: A 9. ANS:
PTS: 1 10. ANS:
REF: 4.5.48
PTS: 1 11. ANS:
REF: 4.6.10
3
5
36
PTS: 1 12. ANS:
REF: 4.1.73
PTS: 1 13. ANS:
REF: 4.8.36b
PTS: 1 14. ANS:
REF: 4.1.112a
PTS: 1 15. ANS:
REF: 4.2.26
135 35' OBJ: Find bearings
7 rpm 43.98 radians per minute
t 3 corresponds to the point ÁÊË x, y ˜ˆ¯ = (1, 0) . sin(3 ) 0 cos (3 ) 1 tan(3 ) 0
a 10.39, c 20.78, B 60 PTS: 1
REF: 4.8.5
2
ID: A 16. ANS:
61 11 PTS: 1 REF: 4.7.60 OBJ: Find the exact value of an expression involving inverse function 17. ANS:
