Given the reference angle of (2pi)/(5), find the corresponding angle in Quadrant 4. Answer:

Understand Quadrant 4: To find the corresponding angle in Quadrant 4 for a reference angle of (2pi)/(5), we need to understand that the reference angle is the acute angle that the terminal side of an angle makes with the x-axis. In Quadrant 4, the terminal side of the angle is below the x-axis, and the angle is measured from the positive x-axis to the terminal side in a clockwise direction.Find Angle Calculation: The angle in Quadrant 4 that has a reference angle of (2pi)/(5) can be found by subtracting the reference angle from 2pi, since a full circle is 2pi radians and we are moving clockwise from the positive x-axis. Calculation: Angle in Quadrant 4 = 2pi - (2pi)/(5)Perform Subtraction: Perform the subtraction to find the angle in Quadrant 4. Calculation: Angle in Quadrant 4 = (10pi)/(5) - (2pi)/(5) = (8pi)/(5)

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Given the reference angle of
(2pi)/(5), find the corresponding angle in Quadrant 4.
Answer:

Given the reference angle of $\frac{2 \pi}{5}$ , find the corresponding angle in Quadrant $4$ . $\newline$ Answer:

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Q. Given the reference angle of

\frac{2 \pi}{5}

, find the corresponding angle in Quadrant

4

\newline

Answer:

Understand Quadrant $4$ : To find the corresponding angle in Quadrant $4$ for a reference angle of $(2\pi)/(5)$ , we need to understand that the reference angle is the acute angle that the terminal side of an angle makes with the x-axis. In Quadrant $4$ , the terminal side of the angle is below the x-axis, and the angle is measured from the positive x-axis to the terminal side in a clockwise direction.
Find Angle Calculation: The angle in Quadrant $4$ that has a reference angle of $(2\pi)/(5)$ can be found by subtracting the reference angle from $2\pi$ , since a full circle is $2\pi$ radians and we are moving clockwise from the positive x-axis. $\newline$ Calculation: Angle in Quadrant $4$ = $2\pi - (2\pi)/(5)$
Perform Subtraction: Perform the subtraction to find the angle in Quadrant $4$ . $\newline$ Calculation: Angle in Quadrant $4$ = $(10\pi)/(5) - (2\pi)/(5) = (8\pi)/(5)$