If theta=(2pi)/(3) radians, what is the value of theta in degrees?

Conversion factor: To convert radians to degrees, we use the conversion factor that π radians is equal to 180 degrees.Multiply by conversion factor: We multiply the given angle in radians by the conversion factor (180/π) to find the angle in degrees. θ in degrees = θ in radians × (180/π)Substitute given value: Substitute the given value of θ in radians into the conversion formula. θ in degrees = (2π/3) × (180/π)Simplify expression: Simplify the expression by canceling out the π in the numerator and the denominator. θ in degrees = 2 × 60Calculate final value: Calculate the final value. θ in degrees = 120

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If
theta=(2pi)/(3) radians, what is the value of
theta in degrees?

If $\theta=\frac{2 \pi}{3}$ radians, what is the value of $\theta$ in degrees?

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Algebra 2

Inverses of csc, sec, and cot

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Q. If

\theta=\frac{2 \pi}{3}

radians, what is the value of

\theta

in degrees?

Conversion factor: To convert radians to degrees, we use the conversion factor that $\pi$ radians is equal to $180$ degrees.
Multiply by conversion factor: We multiply the given angle in radians by the conversion factor $(180/\pi)$ to find the angle in degrees. $\newline$ $\theta$ in degrees = $\theta$ in radians $\times (180/\pi)$
Substitute given value: Substitute the given value of $\theta$ in radians into the conversion formula. $\newline$ $\theta$ in degrees = $\left(\frac{2\pi}{3}\right) \times \left(\frac{180}{\pi}\right)$
Simplify expression: Simplify the expression by canceling out the $\pi$ in the numerator and the denominator. $\newline$ $\theta$ in degrees $= 2 \times 60$
Calculate final value: Calculate the final value. $\theta$ in degrees = $120$