Answer the following without using calculator. A. Given the figure on the right, find the exact trigonometric values of the following: 60° 8 30 1. cos30° 4/3 2. sec60° B. Simplify each expression first by substituting values of the trigonometric functions then by simplifying the resulting expression. 3. sin(45°)cos(30°) 4. (2csc(60°))? C. Simplify each trigonometric expression given that x = 30°, y = 45° and z = 60°: 5. 4tan(z) 6. sin(x)cos(y) + cos(x)sin(y)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Answer the following without using calculator.
A. Given the figure on the right, find the exact
trigonometric values of the following:
60°
30
1. cos30°
4/3
2. sec60°
B. Simplify each expression first by substituting values of the trigonometric
functions then by simplifying the resulting expression.
3. sin(45°)cos(30°)
4. (2csc(60°))?
C. Simplify each trigonometric expression given that x = 30°, y = 45°
and z = 60°:
5. 4tan(z)
6. sin(x)cos(y) + cos(x)sin(y)
D. Solve the following problems:
7. Miguel is operating a drone
hovering above the field of
Marikina Sports Center that is
60°
12 ft away from him. With his
feet as the vertex, 60° was
12
formed between the drone
and the ground, what is the altitude of the drone?
Transcribed Image Text:What's More Answer the following without using calculator. A. Given the figure on the right, find the exact trigonometric values of the following: 60° 30 1. cos30° 4/3 2. sec60° B. Simplify each expression first by substituting values of the trigonometric functions then by simplifying the resulting expression. 3. sin(45°)cos(30°) 4. (2csc(60°))? C. Simplify each trigonometric expression given that x = 30°, y = 45° and z = 60°: 5. 4tan(z) 6. sin(x)cos(y) + cos(x)sin(y) D. Solve the following problems: 7. Miguel is operating a drone hovering above the field of Marikina Sports Center that is 60° 12 ft away from him. With his feet as the vertex, 60° was 12 formed between the drone and the ground, what is the altitude of the drone?
5. If the hypotenuse of a 30° – 60° – 90° triangle is 18 units, how long
is the leg adjacent to 60°?
A. 9
В. 15
С. 16
D. 18
6. Which is the simplified value of (2 csc 45°)2?
В. 6
7. What is the simplified value of -2tan(x + 30°)
А. 4
С. 8
D. 10
when x = 30° ?
В. 2/3
8. What is the value of c on the figure at the right?
А. 2
С. —2
D. -2/3
A. 10/3
10V3
С.
45
30
10v6
В.
3
D. 10v6
10 cm
9. Marcel flew a kite which has a string of 100 meters long and it makes
an angle of 60° with the horizontal. What is the height of the kite?
(assuming that there is no slack in the string)
А. (5 + 5/3) т С.5/3 т
D. 30V5 m
B. 50V3 m
Transcribed Image Text:5. If the hypotenuse of a 30° – 60° – 90° triangle is 18 units, how long is the leg adjacent to 60°? A. 9 В. 15 С. 16 D. 18 6. Which is the simplified value of (2 csc 45°)2? В. 6 7. What is the simplified value of -2tan(x + 30°) А. 4 С. 8 D. 10 when x = 30° ? В. 2/3 8. What is the value of c on the figure at the right? А. 2 С. —2 D. -2/3 A. 10/3 10V3 С. 45 30 10v6 В. 3 D. 10v6 10 cm 9. Marcel flew a kite which has a string of 100 meters long and it makes an angle of 60° with the horizontal. What is the height of the kite? (assuming that there is no slack in the string) А. (5 + 5/3) т С.5/3 т D. 30V5 m B. 50V3 m
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