Given the reference angle of (2pi)/(5), find the corresponding angle in Quadrant 2. Answer:

Determine reference angle: Determine the reference angle in radians.Understand Quadrant 2 angles: Understand that the reference angle is the acute angle that the terminal side of an angle makes with the x-axis. In Quadrant 2, the corresponding angle θ would be π - (reference angle) because angles in Quadrant 2 have a measure between π/2 and π.Calculate angle in Quadrant 2: Calculate the corresponding angle in Quadrant 2 using the reference angle (2pi)/(5). θ = π - (2pi)/(5)Perform subtraction: Perform the subtraction to find the corresponding angle. θ = (5pi)/(5) - (2pi)/(5) θ = (3pi)/(5)

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Given the reference angle of
(2pi)/(5), find the corresponding angle in Quadrant 2.
Answer:

Given the reference angle of $\frac{2 \pi}{5}$ , find the corresponding angle in Quadrant $2$ . $\newline$ Answer:

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Full solution

Q. Given the reference angle of

\frac{2 \pi}{5}

, find the corresponding angle in Quadrant

2

\newline

Answer:

Determine reference angle: Determine the reference angle in radians.
Understand Quadrant $2$ angles: Understand that the reference angle is the acute angle that the terminal side of an angle makes with the x-axis. In Quadrant $2$ , the corresponding angle $\theta$ would be $\pi - (\text{reference angle})$ because angles in Quadrant $2$ have a measure between $\frac{\pi}{2}$ and $\pi$ .
Calculate angle in Quadrant $2$ : Calculate the corresponding angle in Quadrant $2$ using the reference angle $(2\pi)/(5)$ . $\newline$ $\theta = \pi - (2\pi)/(5)$
Perform subtraction: Perform the subtraction to find the corresponding angle. $\newline$ $\theta = \frac{5\pi}{5} - \frac{2\pi}{5}$ $\newline$ $\theta = \frac{3\pi}{5}$