Given the reference angle of (3pi)/(7), find the corresponding angle in Quadrant 4. Answer:

Understand Reference Angle: To find the corresponding angle in Quadrant 4, 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 angle is measured from the positive x-axis to the terminal side in a clockwise direction. Since the full circle is 2π radians, the angle in Quadrant 4 will be 2π minus the reference angle.Calculate Angle in Quadrant 4: Calculate the corresponding angle in Quadrant 4 by subtracting the reference angle from 2π. Corresponding angle in Quadrant 4 = 2π - (3π/7)Perform Subtraction: Perform the subtraction to find the exact value. Corresponding angle in Quadrant 4 = (14π/7) - (3π/7) = (11π/7)

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Given the reference angle of
(3pi)/(7), find the corresponding angle in Quadrant 4.
Answer:

Given the reference angle of $\frac{3 \pi}{7}$ , find the corresponding angle in Quadrant $4$ . $\newline$ Answer:

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Full solution

Q. Given the reference angle of

\frac{3 \pi}{7}

, find the corresponding angle in Quadrant

4

\newline

Answer:

Understand Reference Angle: To find the corresponding angle in Quadrant $4$ , 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 angle is measured from the positive x-axis to the terminal side in a clockwise direction. Since the full circle is $2\pi$ radians, the angle in Quadrant $4$ will be $2\pi$ minus the reference angle.
Calculate Angle in Quadrant $4$ : Calculate the corresponding angle in Quadrant $4$ by subtracting the reference angle from $2\pi$ . $\newline$ Corresponding angle in Quadrant $4$ = $2\pi - \left(\frac{3\pi}{7}\right)$
Perform Subtraction: Perform the subtraction to find the exact value. $\newline$ Corresponding angle in Quadrant $4$ = $(14\pi/7) - (3\pi/7) = (11\pi/7)$