Trigonometric Difference Identities

Question 1

What is the exact value of ?

Revolt · Accepted Answer

StartFraction 1 + StartRoot 3 EndRoot Over 1 minus StartRoot 3 EndRoot EndFraction

Question 2

Which expression is equivalent to cos(40°)cos(10°) + sin(40°)sin(10°)?

Revolt · Accepted Answer

cos(40° – 10°)

Question 3

Given: cos(3x – 180°) = , where 0 ≤ x < 180°Which values represent the solutions to the equation?

Revolt · Accepted Answer

{10°, 110°, 130°}

Question 4

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

Revolt · Accepted Answer

Steps 2 and 3 must be switched.

Question 5

Which values are two of the possible solutions to the equation?

Revolt · Accepted Answer

Left-brace StartFraction pi Over 4 EndFraction, StartFraction 7 pi Over 4 EndFraction right-brace

Question 6

When simplified, is equivalent to which expression?

Revolt · Accepted Answer

tan(30°)

Question 7

Review the proof of the identity cos(π − A) = −cosA.cos(π − A)Step 1: = cosπcosA − sinAsinπStep 2: = (−1)(cosA) + (sinA)(0)Step 3: = −1cosA + (sinA)(0)Step 4: = −cosA + 0Step 5: = −cosA

Revolt · Accepted Answer

step 1

Question 8

Which values represent solutions to , where x [0, 2)?

Revolt · Accepted Answer

Left-brace StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction right-brace

Question 9

Which expression is equivalent to ?

Revolt · Accepted Answer

Sine (negative StartFraction pi over 2 EndFraction)

Question 10

Given: < A < and < B < What is tan(A – B)?

Revolt · Accepted Answer

StartFraction negative 5 + 12 StartRoot 13 EndRoot Over 12 + 5 StartRoot 13 EndRoot EndFraction

Trigonometric Difference Identities Answers

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