Convert the angle theta=260^(@) to radians. Express your answer exactly. theta=◻" radians "

Conversion Factor Application: To convert degrees to radians, we use the conversion factor that pi radians is equivalent to 180 degrees. The formula to convert degrees to radians is: \[ \text{radians} = \text{degrees} \times \frac{\pi}{180} \]Formula Application: Now, we apply the formula to the given angle $ \theta = 260^\circ $: \[ \theta_{\text{radians}} = 260^\circ \times \frac{\pi}{180} \]Expression Simplification: Simplify the expression by multiplying 260 by $ \frac{\pi}{180} $: \[ \theta_{\text{radians}} = \frac{260\pi}{180} \]Fraction Simplification: To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 20: \[ \theta_{\text{radians}} = \frac{260\pi}{180} = \frac{13\pi}{9} \]

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Convert the angle
theta=260^(@) to radians.
Express your answer exactly.

theta=◻" radians "

Convert the angle $\theta=260^{\circ}$ to radians. $\newline$ Express your answer exactly. $\newline$ $\theta=\square \text { radians }$

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Precalculus

Inverses of trigonometric functions

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Q. Convert the angle

\theta=260^{\circ}

to radians.

\newline

Express your answer exactly.

\newline

\theta=\square \text { radians }

Conversion Factor Application: To convert degrees to radians, we use the conversion factor that pi radians is equivalent to $180$ degrees. The formula to convert degrees to radians is: $\newline$ $\text{radians} = \text{degrees} \times \frac{\pi}{180}$
Formula Application: Now, we apply the formula to the given angle $\theta = 260^\circ$ : $\newline$ $\theta_{\text{radians}} = 260^\circ \times \frac{\pi}{180}$
Expression Simplification: Simplify the expression by multiplying $260$ by $\frac{\pi}{180}$ : $\newline$ $\theta_{\text{radians}} = \frac{260\pi}{180}$
Fraction Simplification: To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is $20$ : $\newline$ $\theta_{\text{radians}} = \frac{260\pi}{180} = \frac{13\pi}{9}$