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Core Connections Integrated III, 2015

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Core Connections Integrated III, 2015 View details

1. Section 9.1

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Exercise 55 Page 449

Each point on the unit circle is given by (cos θ, sin θ).

1 → y=cos θ
2 → y=sin θ
Explanation: See solution.

Practice makes perfect

In the unit circle, cosine is measured on the horizontal axis and sine on the vertical axis. To determine which of the graph is y=sinθ and y=cos θ, we should consider an angle of 0^(∘) on the unit circle.

As we can see, when the angle is 0^(∘) we have a cosine value of 1 and a sine value of 0. With this information, we can determine which graph is which.

As we can see, 2 corresponds to y=sin θ and 1 corresponds to y=cos θ.

Subchapter links

9.1.1 Introduction to Periodic Models p.433-434

9.1.2 Graphing the Sine Function p.438-440

9.1.3 Unit Circle ↔ Graph p.442-444

9.1.4 Graphing and Interpreting the Cosine Function p.447-449

9.1.5 Defining a Radian p.452-453

9.1.6 Building a Unit Circle p.456-457

9.1.7 The Tangent Function p.460-461