Find the reference angle for a rotation of (6pi)/(5). Answer:

Understand reference angle: Understand the concept of a reference angle. 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: Determine the quadrant in which the angle (6pi)/(5) radians lies. Since (6pi)/(5) is greater than π but less than (3π)/2, the angle lies in the third quadrant.Calculate reference angle: Calculate the reference angle for (6pi)/(5) radians. To find the reference angle for an angle in the third quadrant, subtract π from the angle. Reference angle = (6pi)/(5) - πPerform subtraction: Perform the subtraction to find the reference angle. Reference angle = (6pi)/(5) - (5pi)/(5) Reference angle = (6pi - 5pi)/(5) Reference angle = pi/5

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Find the reference angle for a rotation of
(6pi)/(5).
Answer:

Find the reference angle for a rotation of $\frac{6 \pi}{5}$ . $\newline$ 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}{5}

\newline

Answer:

\newline

Understand reference angle: Understand the concept of a reference angle. 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 $\pi/2$ radians (or $0$ and $90$ degrees) and is positive.
Determine quadrant: Determine the quadrant in which the angle $(6\pi)/(5)$ radians lies. $\newline$ Since $(6\pi)/(5)$ is greater than $\pi$ but less than $(3\pi)/2$ , the angle lies in the third quadrant.
Calculate reference angle: Calculate the reference angle for $(6\pi)/(5)$ radians. $\newline$ To find the reference angle for an angle in the third quadrant, subtract $\pi$ from the angle. $\newline$ Reference angle = $(6\pi)/(5) - \pi$
Perform subtraction: Perform the subtraction to find the reference angle. $\newline$ Reference angle = $(\frac{6\pi}{5}) - (\frac{5\pi}{5})$ $\newline$ Reference angle = $(\frac{6\pi - 5\pi}{5})$ $\newline$ Reference angle = $\frac{\pi}{5}$