AnswersPrecalculusSolving Trigonometric Equations

Solving Trigonometric Equations — Cumulative exam Answers

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What is the value of cos(tan-1(0))?

A
–1
B
0
C
1
D
StartFraction pi Over 2 EndFraction
Option D
23

Review the proof of cos(A - B) = cosAcosB + sinAsinB.Step 1: Step 2: Step 3: Step 4: Step 5:Step 6:Step 7:

Question illustration
A
1 and 1
B
2 and 1
C
(cosAcosB)2(sinAsinB)2 and (cos2(A – B))((sin2(A – B))
D
(cos2A + sin2A)(cos2B + sin2B) and (cos2(A – B))(sin2(A – B))
24

Which pair of equations below is a result of constructing the altitude, h, in ?

Question illustration
A
sine A = StartFraction h over c EndFraction sine C = StartFraction h over a EndFraction
Option A
B
sine A = StartFraction h over c EndFraction sine B = StartFraction b over c EndFraction
Option B
C
sine A = StartFraction b over c EndFraction sine C = StartFraction b over a EndFraction
Option C
D
sine C = StartFraction h over a EndFraction sine B = StartFraction b over a EndFraction
Option D
25

Which expression is equivalent to ?

Question illustration
A
tan(x)
B
–tan(x)
C
StartFraction 1 Over cosine (x) EndFraction
Option C
D
Negative StartFraction 1 Over cosine (x) EndFraction
Option D

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