Given the reference angle of (pi)/(7), find the corresponding angle in Quadrant 2. Answer:

Concept of Reference Angles: Understand the concept of reference angles and quadrants. A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. The corresponding angle in Quadrant 2 is found by subtracting the reference angle from pi, since angles in Quadrant 2 have values between pi/2 and pi.Calculate Angle in Quadrant 2: Calculate the corresponding angle in Quadrant 2. The corresponding angle in Quadrant 2, θ₂, is given by θ₂ = pi - (pi/7).Perform Subtraction for Exact Value: Perform the subtraction to find the exact value. θ₂ = pi - (pi/7) = (7pi/7) - (pi/7) = (6pi/7).

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Given the reference angle of
(pi)/(7), find the corresponding angle in Quadrant 2.
Answer:

Given the reference angle of $\frac{\pi}{7}$ , find the corresponding angle in Quadrant $2$ . $\newline$ Answer:

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Q. Given the reference angle of

\frac{\pi}{7}

, find the corresponding angle in Quadrant

2

\newline

Answer:

Concept of Reference Angles: 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. The corresponding angle in Quadrant $2$ is found by subtracting the reference angle from $\pi$ , since angles in Quadrant $2$ have values between $\frac{\pi}{2}$ and $\pi$ .
Calculate Angle in Quadrant $2$ : Calculate the corresponding angle in Quadrant $2$ . The corresponding angle in Quadrant $2$ , $\theta_2$ , is given by $\theta_2 = \pi - (\pi/7)$ .
Perform Subtraction for Exact Value: Perform the subtraction to find the exact value. $\theta_2 = \pi - (\pi/7) = (7\pi/7) - (\pi/7) = (6\pi/7)$ .