2. In what quadrant is $$ \cos heta $$ positive? $$ \begin{array}{llll} ext { A. IQ and IIQ } & ext { B. IIQ and IIIQ } & ext { C. IQ and IVQ } & ext { D. IIIQ and IVQ } \ \begin{array}{llll} ext { A. } \pi & ext { B. } 2 \pi & ext { C. } 3 \pi & ext { D. } 4 \pi\end{array}\end{array} \$ \begin{array}{l} ext { 3. What is the equivalent radian measure of one complete revolution? }\end{array} $$

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2. In what quadrant is $$ \cos 	heta $$ positive? $$ \begin{array}{llll}	ext { A. IQ and IIQ } & 	ext { B. IIQ and IIIQ } & 	ext { C. IQ and IVQ } & 	ext { D. IIIQ and IVQ } \ \begin{array}{llll}	ext { A. } \pi & 	ext { B. } 2 \pi & 	ext { C. } 3 \pi & 	ext { D. } 4 \pi\end{array}\end{array} \$ \begin{array}{l}	ext { 3. What is the equivalent radian measure of one complete revolution? }\end{array} $$

UpStudy AI · Accepted Answer

1. To determine in which quadrants $$ \cos \theta $$ is positive, we can analyze the unit circle:

- In the **1st quadrant (IQ)**, both $$ \cos \theta $$ and $$ \sin \theta $$ are positive.
- In the **2nd quadrant (IIQ)**, $$ \cos \theta $$ is negative and $$ \sin \theta $$ is positive.
- In the **3rd quadrant (IIIQ)**, both $$ \cos \theta $$ and $$ \sin \theta $$ are negative.
- In the **4th quadrant (IVQ)**, $$ \cos \theta $$ is positive and $$ \sin \theta $$ is negative.

Thus, $$ \cos \theta $$ is positive in the **1st quadrant (IQ)** and the **4th quadrant (IVQ)**.

The correct answer is **C. IQ and IVQ**.

2. For the equivalent radian measure of one complete revolution, we know that one complete revolution corresponds to $$ 360^\circ $$. In radians, this is calculated as follows:

$$
360^\circ = 2\pi \text{ radians}
$$

Thus, the equivalent radian measure of one complete revolution is **B. $$ 2\pi $$**.
1. $$ \cos \theta $$ is positive in IQ and IVQ. 2. One complete revolution is $$ 2\pi $$ radians.

In what quadrant is positive?

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