Convert the angle theta=(17 pi)/(18) radians to degrees. Express your answer exactly. theta=◻^(@)

Convert to degrees: To convert radians to degrees, we use the conversion factor 180 degrees = pi radians. So, we multiply theta by 180/pi. Calculation: theta = (17 pi)/(18) * (180/pi).Simplify expression: Simplify the expression by canceling out pi from the numerator and denominator. Calculation: theta = 17/18 * 180.Multiply and divide: Now, multiply 17 by 180 and then divide by 18. Calculation: theta = (17 * 180) / 18.Perform final division: Perform the multiplication and division. Calculation: theta = 3060 / 18.Obtain exact value: Finally, divide 3060 by 18 to get the exact value in degrees. Calculation: theta = 170 degrees.

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Convert the angle $\theta=\frac{17\pi}{18}$ 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

\theta=\frac{17\pi}{18}

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 $180$ degrees $= \pi$ radians. $\newline$ So, we multiply $\theta$ by $\frac{180}{\pi}$ . $\newline$ Calculation: $\theta = \frac{17 \pi}{18} \times \frac{180}{\pi}$ .
Simplify expression: Simplify the expression by canceling out $\pi$ from the numerator and denominator. $\newline$ Calculation: $\theta = \frac{17}{18} \times 180$ .
Multiply and divide: Now, multiply $17$ by $180$ and then divide by $18$ . Calculation: $\theta = (17 \times 180) / 18$ .
Perform final division: Perform the multiplication and division. $\newline$ Calculation: $\theta = \frac{3060}{18}$ .
Obtain exact value: Finally, divide $3060$ by $18$ to get the exact value in degrees. $\newline$ Calculation: $\theta = 170$ degrees.