Trigonometric Sum Identities

Question 1

What is the exact value of ?

Revolt · Accepted Answer

Negative one-half

Question 2

A student uses the following steps to prove the sine sum identity. The proof is incorrect.Which step is incorrect?

Revolt · Accepted Answer

Step 4

Question 3

What is the exact value of sin(345°)?

Revolt · Accepted Answer

StartFraction negative StartRoot negative 6 EndRoot + StartRoot 2 EndRoot Over 4 EndFraction

Question 4

What is the exact value of sin(v + w), given , , v is an angle in Quadrant III, and w is an angle is Quadrant IV?

Revolt · Accepted Answer

StartFraction negative 30 + 4 StartRoot 21 EndRoot Over 55 EndFraction

Question 5

Which numbers complete the blanks when solving the equation over the interval [0, 2]?

Revolt · Accepted Answer

1; 0

Question 6

Solve: for [, 2].

Revolt · Accepted Answer

StartFraction 5 pi Over 3 EndFraction

Question 7

What is the exact value of cos(195°)?

Revolt · Accepted Answer

StartFraction negative StartRoot 6 EndRoot minus StartRoot 2 EndRoot

Question 8

Which expression is equivalent to sin(84°)cos(43°) + cos(84°)sin(43°)?

Revolt · Accepted Answer

sin(127°)

Question 9

Review the steps in the derivation of the tangent sum identity. The steps are not in order.

Revolt · Accepted Answer

I IV II III

Question 10

Solve the equation over the interval [0, 2].

Revolt · Accepted Answer

StartFraction 5 pi Over 6 EndFraction and StartFraction 11 pi over 6 EndFraction

Trigonometric Sum Identities Answers