Find the reference angle for a rotation of (3pi)/(11). Answer:

Definition of reference angle: Understand what a reference angle is. A reference angle is the acute angle formed by the terminal side of an angle in standard position and the x-axis. It is always between 0 and π/2 radians (or 0 and 90 degrees) and is positive.Determine quadrant of angle: Determine the quadrant in which the angle (3π/11) lies. Since (3π/11) is less than π/2, it lies in the first quadrant where the reference angle is the same as the angle itself because it is already acute.First quadrant reference angle: State the reference angle for an angle in the first quadrant. For an angle θ in the first quadrant, the reference angle is θ itself.Conclude reference angle: Conclude the reference angle for (3π/11). Since (3π/11) is in the first quadrant, the reference angle is (3π/11).

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Q. Find the reference angle for a rotation of

\frac{3 \pi}{11}

\newline

Answer:

\newline

Definition of reference angle: Understand what a reference angle is. $\newline$ A reference angle is the acute angle formed by the terminal side of an angle in standard position and the x-axis. It is always between $0$ and $\frac{\pi}{2}$ radians (or $0$ and $90$ degrees) and is positive.
Determine quadrant of angle: Determine the quadrant in which the angle $(3\pi/11)$ lies. $\newline$ Since $(3\pi/11)$ is less than $\pi/2$ , it lies in the first quadrant where the reference angle is the same as the angle itself because it is already acute.
First quadrant reference angle: State the reference angle for an angle in the first quadrant. $\newline$ For an angle $\theta$ in the first quadrant, the reference angle is $\theta$ itself.
Conclude reference angle: Conclude the reference angle for $(3\pi/11)$ . Since $(3\pi/11)$ is in the first quadrant, the reference angle is $(3\pi/11)$ .