Trigonometry Unit 1: Trigonometric Functions
Graphing Sine, Cosine, and Tangent
Review
Name: _________________________________________________________ Date: _____________________
Graph the following on a separate sheet of graph paper. Label your axes as necessary.
1.
2.
3.
4.
5.
Graph y = 4 sin (x + 1)
Graph y = cos x – 4
Graph y = tan x + 2
Graph y = ½ sin (x – 1)
Graph y = 2 cos (x + 3)
Determine the value for the given trigonometric functions.
6. A. Tan 90
7. A. Sin 45
8. A. Cos -210
B. Sin -270
B. Cos (-4π/3)
B. Tan (7π/4)
C. Cos 5π/6
C. Tan (135)
C. Sin (-π)
Trigonometry Unit 1: Trigonometric Functions
Graphing Sine, Cosine, and Tangent
Review
Name: _________________________________________________________ Date: _____________________
Graph the following on a separate sheet of graph paper. Label your axes as necessary.
1.
2.
3.
4.
5.
Graph y = 4 sin (x + 1)
Graph y = cos x – 4
Graph y = tan x + 2
Graph y = ½ sin (x – 1)
Graph y = 2 cos (x + 3)
Determine the value for the given trigonometric functions.
6. A. Tan 90
7. A. Sin 45
8. A. Cos -210
B. Sin -270
B. Cos (-4π/3)
B. Tan (7π/4)
C. Cos 5π/6
C. Tan (135)
C. Sin (-π)
9. A round-about on the interstate is 20 feet in diameter (as shown). Determine how far a car travels to get
from Main Street to north bound 2nd avenue.
10. A pizza is order with stuffed crust. Determine the amount of stuffed crust for each size pizza below
(assume the pizza is cut into 8 equal pieces).
a. Small: 8 inches in diameter
b. Medium: 10 inches in diameter
c. Large: 12 inches in diameter
d. Family: 18 inches in diameter
11. For the pizza from question 6, determine the area of one slice of pizza for each of the sizes above,
a. Small: 8 inches in diameter
b. Medium: 10 inches in diameter
c. Large: 12 inches in diameter
d. Family: 18 inches in diameter
12. Find the area of the circle below, given that the area of the square ABCD is 100 in².
9. A round-about on the interstate is 20 feet in diameter (as shown). Determine how far a car travels to get
from Main Street to north bound 2nd avenue.
10. A pizza is order with stuffed crust. Determine the amount of stuffed crust for each size pizza below
(assume the pizza is cut into 8 equal pieces).
a. Small: 8 inches in diameter
b. Medium: 10 inches in diameter
c. Large: 12 inches in diameter
d. Family: 18 inches in diameter
11. For the pizza from question 6, determine the area of one slice of pizza for each of the sizes above,
a. Small: 8 inches in diameter
b. Medium: 10 inches in diameter
c. Large: 12 inches in diameter
d. Family: 18 inches in diameter
12. Find the area of the circle below, given that the area of the square ABCD is 100 in².