Convert the angle theta=(133 pi)/(72) radians to degrees. Express your answer exactly. theta=◻^(@)

Convert to degrees: To convert radians to degrees, we use the conversion factor that π radians is equal to 180 degrees. The formula to convert from radians to degrees is: θ (degrees) = θ (radians) × (180/π) Let's apply this formula to the given angle.Write given angle: First, we write down the given angle in radians: θ = (133π)/72 Now, we multiply this angle by the conversion factor (180/π) to convert it to degrees. θ (degrees) = ((133π)/72) × (180/π)Apply conversion factor: We can simplify the expression by canceling out the π terms: θ (degrees) = (133/72) × 180Simplify expression: Now, we perform the multiplication to find the exact value in degrees: θ (degrees) = 133 × (180/72) θ (degrees) = 133 × 2.5Perform multiplication: Finally, we calculate the multiplication: θ (degrees) = 332.5 So, the angle in degrees is exactly 332.5 degrees.

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Convert the angle
theta=(133 pi)/(72) radians to degrees.
Express your answer exactly.

theta=◻^(@)

Convert the angle $\newline$ $\theta=\frac{133\pi}{72}$ radians to degrees. $\newline$ Express your answer exactly. $\newline$ $\theta=\square^\circ$

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Precalculus

Inverses of trigonometric functions

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Q. Convert the angle

\newline

\theta=\frac{133\pi}{72}

radians to degrees.

\newline

Express your answer exactly.

\newline

\theta=\square^\circ

Convert to degrees: To convert radians to degrees, we use the conversion factor that $\pi$ radians is equal to $180$ degrees. The formula to convert from radians to degrees is: $\newline$ $\theta$ (degrees) = $\theta$ (radians) $\times$ ( $180/\pi$ ) $\newline$ Let's apply this formula to the given angle.
Write given angle: First, we write down the given angle in radians: $\newline$ $\theta = \frac{133\pi}{72}$ $\newline$ Now, we multiply this angle by the conversion factor $\frac{180}{\pi}$ to convert it to degrees. $\newline$ $\theta$ (degrees) = $\left(\frac{133\pi}{72}\right) \times \frac{180}{\pi}$
Apply conversion factor: We can simplify the expression by canceling out the $\pi$ terms: $\theta$ (degrees) = $\left(\frac{133}{72}\right) \times 180$
Simplify expression: Now, we perform the multiplication to find the exact value in degrees: $\newline$ $\theta$ (degrees) = $133 \times (180/72)$ $\newline$ $\theta$ (degrees) = $133 \times 2.5$
Perform multiplication: Finally, we calculate the multiplication: $\newline$ $\theta$ (degrees) = $332.5$ $\newline$ So, the angle in degrees is exactly $332.5$ degrees.