AnswersPrecalculusSolving Trigonometric Equations

Solving Trigonometric Equations — Cumulative exam Answers

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Which expression is equal to ?

Question illustration
A
Negative sine (StartFraction pi Over 20 EndFraction)
Option A
B
Negative sine (StartFraction pi Over 5 EndFraction)
Option B
C
Sine StartFraction pi Over 5 EndFraction
Option C
D
Sine StartFraction pi Over 20 EndFraction
Option D
42
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Which is an asymptote of the graph of the function ?

Question illustration
A
mc020-2.jpg
Option A
B
mc020-3.jpg
Option B
C
mc020-4.jpg
Option C
D
mc020-5.jpg
Option D
45

Which trigonometric functions have the same maximum value?

A
y = arcsinx and y = arccosx
B
y = arcsinx and y = arctanx
C
y = arctanx and y = arcsecx
D
y = arccosx and y = arcsecx
47

What is the value of sin-1(1)?

A
Negative StartFraction pi Over 2 EndFraction
Option A
B
0
C
StartFraction pi Over 2 EndFraction
Option C
D
π
48

Which expression is equivalent to ?

Question illustration
A
– 1 – cos(ϴ)
B
– 1 + cos(ϴ)
C
1 + cos(ϴ)
D
1 – cos(ϴ)
49

Suppose where . What is the value of tan(2x)?

Question illustration
A
Negative StartFraction 2 StartRoot 8 EndRoot Over 7 EndFraction
Option A
B
Negative StartRoot 8 EndRoot
Option B
C
StartRoot 8 EndRoot
Option C
D
StartFraction 2 StartRoot 8 EndRoot Over 7 EndFraction
Option D
50

What function is graphed below?

Question illustration
A
y equal to cotangent (StartFraction 3 over 4 EndFraction (x minus StartFraction pi over 6 EndFraction ))
Option A
B
y equal to cotangent (StartFraction 3 over 2 EndFraction (x minus StartFraction pi over 6 EndFraction ))
Option B
C
y equal to cotangent (StartFraction 3 over 4 EndFraction (x plus StartFraction pi over 6 EndFraction ))
Option C
D
y equal to cotangent (StartFraction 3 over 2 EndFraction (x plus StartFraction pi over 6 EndFraction ))
Option D

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Solving Trigonometric Equations — Cumulative…