What's the exact value of cos 75°?
Question 1 options:
A)
B)
...
Mathematics, 15.01.2021 14:00 shrinu
What's the exact value of cos 75°?
Question 1 options:
A)
B)
C)
D)
Question 2 (5 points)
What's a radian?
Question 2 options:
A)
The distance halfway around a circle
B)
The ratio between a circle's diameter and its radius
C)
An angle made at the center of a circle by an arc whose length is equal to the radius of the circle
D)
The ratio between a circle's circumference and its radius
Question 3 (5 points)
image
Determine the value of x.
Question 3 options:
A)
54.45
B)
16.32
C)
17.51
D)
35.54
Question 4 (5 points)
image
Which of the following is a correct tangent ratio for the figure?
Question 4 options:
A)
tan(11°) = 15∕39
B)
tan(11°) = 39∕15
C)
tan(39°) = 11∕15
D)
tan(39°) = 15∕11
Question 5 (5 points)
image
Using the unit circle, determine the value of tan(120°).
Question 5 options:
A)
B)
–
C)
D)
Question 6 (5 points)
Which two equations are the equations of vertical asymptotes of the function y = 5∕3 tan(3∕4x)?
Question 6 options:
A)
x = 0 and x =4π∕3
B)
x = 4π∕3 and x = –4π∕3
C)
x = 0 and x = 2π∕3
D)
x = 2π∕3 and x = –2π∕3
Question 7 (5 points)
image
Determine the value of x using a trigonometric ratio.
Question 7 options:
A)
4.18 units
B)
4.98 units
C)
10.11 units
D)
8.49 units
Question 8 (5 points)
image
Write the equation of the sinusoidal function shown.
Question 8 options:
A)
y = cos(3x) + 2
B)
y = cos x + 2
C)
y = sin x + 2
D)
y = sin(3x) + 2
Question 9 (5 points)
image
Using the unit circle, determine the value of cos(–150°).
Question 9 options:
A)
B)
C)
D)
Question 10 (5 points)
Reflecting y = – 3 sin x across the x-axis results in a function with equation
Question 10 options:
A)
y = – 3 sin (x – π).
B)
y = 3 sin x.
C)
y = – sin x.
D)
y = – 3 sin (x + π).
Question 11 (5 points)
image
Determine the value of x.
Question 11 options:
A)
44.78
B)
0.02
C)
3.22
D)
70.57
Question 12 (5 points)
Using the unit circle, determine the value of sin 450°.
Question 12 options:
A)
1∕2
B)
–1
C)
0
D)
1
Question 13 (5 points)
Which of the following graphs represents the function y = 2 cos(x – π∕2) – 1?
Question 13 options:
A)
image
B)
image
C)
image
D)
image
Question 14 (5 points)
Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.
Question 14 options:
A)
–13∕5
B)
13∕5
C)
5∕13
D)
–5∕13
Question 15 (5 points)
Evaluate the expression.
Question 15 options:
A)
–tan π∕56
B)
–tan 17π∕56
C)
tan π∕56
D)
tan 17π∕56
Question 16 (5 points)
image
Using the unit circle, determine the value of cos(945°).
Question 16 options:
A)
B)
C)
D)
Question 17 (5 points)
Find the equation of the midline of the function y = 2 sin(1∕4x) – 3.
Question 17 options:
A)
y = –3
B)
y = 3
C)
y = 2
D)
y = 1∕4
Question 18 (5 points)
For an angle to be in standard position, its vertex is at the origin and the initial side lies on the
Question 18 options:
A)
negative x-axis.
B)
negative x-axis.
C)
positive x-axis.
D)
positive y-axis.
Question 19 (5 points)
image
Determine the measure of ∠Z.
Question 19 options:
A)
48.24°
B)
87.71°
C)
41.76°
D)
13.29°
Question 20 (5 points)
Which of the following are maximum and minimum points of the function y = sin(x + π)?
Question 20 options:
A)
Minimum: (π∕4, 1); Maximum: (5π∕4, –1)
B)
Maximum: (π∕2, – 1); Minimum: (3π∕2, 1)
C)
Minimum: (π∕4, – 1); Maximum: (5π∕4, 1)
D)
Maximum: (π∕2, 1); Minimum: (3π∕2, –1)
Answers: 3
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