Periodic Trigonometric Functions

This quiz covers sine, cosine, & tangent curves, period, amplitude, inverse trig functions, radians/degrees, and special triangles. #sine #cosine #tangent #specialtriangles #radians #degrees #inverse #trigonometric #trigonometry #amplitude #period #phaseshift #terminalpoint

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Questions 20

Answers

1
A curve passes through (0,0) has an amp = 5 and a period = 120. What is its equation?
y = 5 sin 3x
y = 5 sin 120x
y = 5 cos 3x
y = 120 cos 5x
2
What is the amplitude and period of this curve?
Amp: 3; Period: π/2
Amp: -3; Period: π
Amp: 6; Period: π/2
Amp: 3; Period: π
3
What is the amplitude of the equation y = 5sin 4(x - 20)?
π/2
4
5
20
4
What is the equation of this curve?
y = 2tan 1.5x
y = 2sin 3x
y = 2cos 3x
y = 2sin 4x
5
What is the exact value of cos45⁰?
√3/2
1
√2
√2/2
6
What is the value of sin^-1 (1/2) ?
90 degrees
45 degrees
30 degrees
60 degrees
7
What angle does 160⁰ make with the x-axis?
400
200
500
300
8
What angle does 225⁰make with the x-axis?
π/4 in the fourth quadrant
π/4 in the third quadrant
2π/3 in the third quadrant
π/3 in the third quadrant
9
Convert ^3π/₄ into degrees.
2250
3150
1350
2400
10
What angle does 330⁰ make with the x-axis?
π/6 in the fourth quadrant
π/4 in the fourth quadrant
π/3 in the fourth quadrant
π/2 in the fifth quadrant
11
What is the phase shift of the equation y = 3cos 2(x + π/3)?
-60 degrees
3
π/3
π
12
If cos θ = ^-3/₅ in the third quadrant, calculate sin θ.
3/10
-4/5
4/10
4/5
13
What is the equation of this curve?
y=4sin1/5x
y = 4sin 5x
y = tan 2.5x
y = 4cos 5(x + 10)
14
What is the value of cos^-1 (- 1/2) ?
135 degrees
30 degrees
60 degrees
120 degrees
15
What is the exact value of cos150⁰?
- 1/2
√3/2
1/2
- √3/2
16
The equation y = tan 2x has what period?
π/4
π/2
2π/3
π/3
17
What is the exact value of sin60⁰?
√2/2
√3
√3/2
2
18
What is the equation of this curve?
y = cos 2x
y = sin 2x
y = cos 4x
y = sin 4x
19
Convert 270⁰ to radians.
2π/3
3π/5
2π/5
3π/2
20
What is the amplitude of the equation y = -2 cos 3x?
3
2
-3
-2

Periodic Trigonometric Functions Flashcards | StudBud

Periodic Trigonometric Functions

20 termsStudBud Administration45 plays

Flashcards20 cardsFPractice quizPHost liveL

Questions 20

Answers

1
A curve passes through (0,0) has an amp = 5 and a period = 120. What is its equation?
y = 5 sin 3x
y = 5 sin 120x
y = 5 cos 3x
y = 120 cos 5x
2
What is the amplitude and period of this curve?
Amp: 3; Period: π/2
Amp: -3; Period: π
Amp: 6; Period: π/2
Amp: 3; Period: π
3
What is the amplitude of the equation y = 5sin 4(x - 20)?
π/2
4
5
20
4
What is the equation of this curve?
y = 2tan 1.5x
y = 2sin 3x
y = 2cos 3x
y = 2sin 4x
5
What is the exact value of cos45⁰?
√3/2
1
√2
√2/2
6
What is the value of sin^-1 (1/2) ?
90 degrees
45 degrees
30 degrees
60 degrees
7
What angle does 160⁰ make with the x-axis?
400
200
500
300
8
What angle does 225⁰make with the x-axis?
π/4 in the fourth quadrant
π/4 in the third quadrant
2π/3 in the third quadrant
π/3 in the third quadrant
9
Convert ^3π/₄ into degrees.
2250
3150
1350
2400
10
What angle does 330⁰ make with the x-axis?
π/6 in the fourth quadrant
π/4 in the fourth quadrant
π/3 in the fourth quadrant
π/2 in the fifth quadrant
11
What is the phase shift of the equation y = 3cos 2(x + π/3)?
-60 degrees
3
π/3
π
12
If cos θ = ^-3/₅ in the third quadrant, calculate sin θ.
3/10
-4/5
4/10
4/5
13
What is the equation of this curve?
y=4sin1/5x
y = 4sin 5x
y = tan 2.5x
y = 4cos 5(x + 10)
14
What is the value of cos^-1 (- 1/2) ?
135 degrees
30 degrees
60 degrees
120 degrees
15
What is the exact value of cos150⁰?
- 1/2
√3/2
1/2
- √3/2
16
The equation y = tan 2x has what period?
π/4
π/2
2π/3
π/3
17
What is the exact value of sin60⁰?
√2/2
√3
√3/2
2
18
What is the equation of this curve?
y = cos 2x
y = sin 2x
y = cos 4x
y = sin 4x
19
Convert 270⁰ to radians.
2π/3
3π/5
2π/5
3π/2
20
What is the amplitude of the equation y = -2 cos 3x?
3
2
-3
-2