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

Ask by Peters Chambers. in the Philippines
Dec 09,2024

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1. \( \cos \theta \) is positive in IQ and IVQ. 2. One complete revolution is \( 2\pi \) radians.

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In the unit circle, \( \cos \theta \) is positive in the first quadrant (IQ) and the fourth quadrant (IVQ). This is because the cosine function corresponds to the x-coordinate of a point on the unit circle, and x-values are positive in these two quadrants. So, the correct answer is \( \text{C. IQ and IVQ} \). One complete revolution around a circle corresponds to an angle of \( 360^\circ \). In radian measure, this translates to \( 2\pi \) radians. Thus, the correct answer is \( \text{B. } 2\pi \).

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