Performance Task: Trigonometric Identities

Question 1

How can the vector in the graph be described?

Revolt · Accepted Answer

A: The magnitude is , and the direction angle is about 34°.

Question 2

In the packaging part of a warehouse, boxes of blue cups must be moved from the staging area located at an origination point along a conveyor belt described by a vector with components ⟨6, 30⟩. If boxes of red cups are moved 2.5 times the distance along the same belt, which describes the vector that shows the path of the boxes of red cups? Round the magnitude to the nearest whole number if necessary.

Revolt · Accepted Answer

D: components: ⟨15, 75⟩, magnitude: about 76

Question 3

The component form of is .

Revolt · Accepted Answer

C: – 3, 4

Question 4

The magnitude of is .

Revolt · Accepted Answer

C: 5

Question 5

To the nearest degree, the direction angle of is .

Revolt · Accepted Answer

C: 127º

Question 6

If is multiplied by the scalar –10, the new vector will be the original vector.

Revolt · Accepted Answer

B: in the opposite direction but longer than

Performance Task: Trigonometric Identities Answers

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