Find the reference angle for a rotation of (6pi)/(11). Answer:

Concept of Reference Angle: Understand the concept of a reference angle. A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. It is always between 0 and π/2 radians (or 0 and 90 degrees) and is positive.Location on Unit Circle: Determine the location of the angle (6pi)/(11) radians on the unit circle. Since (6pi)/(11) is less than π, it lies in the second quadrant.Calculate Reference Angle: Calculate the reference angle for (6pi)/(11) radians. The reference angle in the second quadrant is π minus the given angle. So, we calculate π - (6pi)/(11).Perform Subtraction: Perform the subtraction to find the reference angle. Reference angle = π - (6pi)/(11) = (11pi)/(11) - (6pi)/(11) = (5pi)/(11) radians.

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Find the reference angle for a rotation of
(6pi)/(11).
Answer:

Find the reference angle for a rotation of $\frac{6 \pi}{11}$ . $\newline$ Answer: $\newline$

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Algebra 2

Inverses of csc, sec, and cot

Full solution

Q. Find the reference angle for a rotation of

\frac{6 \pi}{11}

\newline

Answer:

\newline

Concept of Reference Angle: Understand the concept of a reference angle. A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. It is always between $0$ and $\frac{\pi}{2}$ radians (or $0$ and $90$ degrees) and is positive.
Location on Unit Circle: Determine the location of the angle $(6\pi)/(11)$ radians on the unit circle. $\newline$ Since $(6\pi)/(11)$ is less than $\pi$ , it lies in the second quadrant.
Calculate Reference Angle: Calculate the reference angle for $(6\pi)/(11)$ radians. $\newline$ The reference angle in the second quadrant is $\pi$ minus the given angle. So, we calculate $\pi - (6\pi)/(11)$ .
Perform Subtraction: Perform the subtraction to find the reference angle. $\newline$ Reference angle = $\pi - \frac{6\pi}{11} = \frac{11\pi}{11} - \frac{6\pi}{11} = \frac{5\pi}{11}$ radians.