Convert the angle (5pi)/(3) radians to degrees. Answer:

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 an angle in radians to degrees is: degrees = radians * (180/pi).Apply formula: Now, we apply the formula to the given angle (5pi)/(3) radians: degrees = (5pi)/(3) * (180/pi).Simplify expression: We can simplify the expression by canceling out the pi terms: degrees = 5/3 * 180.Perform multiplication: Next, we perform the multiplication: degrees = 5 * 60.Calculate product: Finally, we calculate the product: degrees = 300.

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Convert the angle
(5pi)/(3) radians to degrees.
Answer:

Convert the angle $\frac{5 \pi}{3}$ radians to degrees. $\newline$ Answer:

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Precalculus

Inverses of trigonometric functions

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Q. Convert the angle

\frac{5 \pi}{3}

radians to degrees.

\newline

Answer:

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 an angle in radians to degrees is: $\text{degrees} = \text{radians} \times (180/\pi)$ .
Apply formula: Now, we apply the formula to the given angle $(5\pi)/(3)$ radians: degrees = $(5\pi)/(3) \times (180/\pi)$ .
Simplify expression: We can simplify the expression by canceling out the pi terms: $\text{degrees} = \frac{5}{3} \times 180$ .
Perform multiplication: Next, we perform the multiplication: $\text{degrees} = 5 \times 60$ .
Calculate product: Finally, we calculate the product: $\text{degrees} = 300$ .