Solving Trigonometric Equations

Question 1

What is the exact value of ?

Revolt · Accepted Answer

StartFraction StartRoot 6 EndRoot + StartRoot 2 EndRoot Over 4 EndFraction

Question 2

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

Question 3

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

Revolt · Accepted Answer

step 2

Question 4

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 5

What is the value of sin(80°)cos(20°) – cos(80°)sin(20°)?

Revolt · Accepted Answer

StartFraction StartRoot 3 EndRoot Over 2 EndFraction

Question 6

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 7

Which expression is equivalent to ?

Revolt · Accepted Answer

Sine (negative StartFraction pi over 2 EndFraction)

Question 8

When simplified, is equivalent to which expression?

Revolt · Accepted Answer

tan(30°)

Question 9

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

Revolt · Accepted Answer

sin(–60°)

Question 10

What is the exact value of ?

Revolt · Accepted Answer

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

Solving Trigonometric Equations Answers

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