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Given the reference angle of
(pi)/(13), find the corresponding angle in Quadrant 2.
Answer:

Given the reference angle of $\frac{\pi}{13}$ , find the corresponding angle in Quadrant $2$ . $\newline$ Answer:

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Full solution

Q. Given the reference angle of

\frac{\pi}{13}

, find the corresponding angle in Quadrant

2

.

\newline

Answer:

Understand concept reference angles quadrants: Understand the concept of reference angles and quadrants. $\newline$ A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. In Quadrant $2$ , the angles are between $\frac{\pi}{2}$ and $\pi$ . To find the corresponding angle in Quadrant $2$ for a given reference angle, we subtract the reference angle from $\pi$ .
Calculate corresponding angle Quadrant $2$ : Calculate the corresponding angle in Quadrant $2$ . $\newline$ The corresponding angle in Quadrant $2$ for a reference angle of $(\pi)/(13)$ is $\pi - (\pi)/(13)$ .
Perform subtraction find exact value: Perform the subtraction to find the exact value. $\newline$ The exact value of the corresponding angle in Quadrant $2$ is $\pi - \frac{\pi}{13} = \frac{13\pi}{13} - \frac{\pi}{13} = \frac{12\pi}{13}$ .

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