AnswersPrecalculusTrigonometric Difference Identities

Trigonometric Difference Identities Answers

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Review the steps of the proof of the identity .Step 1: = Step 2: = Step 3: = Step 4: = Step 5:

Question illustration
A
step 1
B
step 2
C
step 3
D
step 4
2
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Review the proof of sin(A – B) = sinAcosB – cosAsinBsin(A – B) = Step 1: Step 2: Step 3: Step 4: = sinAcosB – cosAsinB

Question illustration
A
Step 3 should be step 1.
B
Step 4 should be step 1.
C
Steps 1 and 2 must be switched.
D
Steps 1 and 3 must be switched.
3

Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?

A
sin(–60°)
B
cos(–60°)
C
cos(60°)
D
sin(60°)
4

What is the exact value of ?

Question illustration
A
StartFraction StartRoot 6 EndRoot minus StartRoot 2 EndRoot Over 8 EndFraction
Option A
B
StartFraction StartRoot 6 EndRoot minus StartRoot 2 EndRoot Over 4 EndFraction
Option B
C
StartFraction StartRoot 6 EndRoot + StartRoot 2 EndRoot Over 8 EndFraction
Option C
D
StartFraction StartRoot 6 EndRoot + StartRoot 2 EndRoot Over 4 EndFraction
Option D

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