AnswersPrecalculusTrigonometric Sum Identities

Trigonometric Sum Identities — Cumulative exam Answers

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45

What is the exact value of cos(c + d), given for c in Quadrant II and for d in Quadrant III?

Question illustration
A
Negative StartFraction 47 Over 100 EndFraction
Option A
B
Negative 1 and StartFraction 3 Over 100 EndFraction
Option B
C
StartFraction 21 minus 24 StartRoot 7 EndRoot Over 100 EndFraction
Option C
D
StartFraction 21 + 24 StartRoot 7 EndRoot Over 100 EndFraction
Option D
46

Which expression is equivalent to ?

Question illustration
A
StartFraction negative 1 minus tangent (2 x) Over 1 minus (negative 1) (tangent (2 x) ) EndFraction
Option A
B
StartFraction negative 1 minus tangent (2 x) Over 1 + (negative 1) (tangent (2 x) ) EndFraction
Option B
C
StartFraction 1 minus tangent (2 x) Over 1 + (1) (tangent (2 x) ) EndFraction
Option C
D
StartFraction 1 + tangent (2 x) Over 1 minus (1) (tangent (2 x) ) EndFraction
Option D
47

Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?

A
0 with multiplicity 3, –3 with multiplicity 2, and –2 with multiplicity 1
B
0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1
C
0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1
D
0 with multiplicity 3, –3 with multiplicity 1, and –6 with multiplicity 1
49

Suppose and sin(x) > 0. What is the value of tan(2x)?

Question illustration
A
Negative 5
Option A
B
Negative four-thirds
Option B
C
Four-thirds
Option C
D
2

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