Convert the angle (7pi)/(12) radians to degrees. Answer:

Conversion Factor: 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 (7pi)/(12) radians: degrees = (7pi)/(12) * (180/pi).Simplify Expression: We can simplify the expression by canceling out the pi terms: degrees = (7 * 180) / 12.Perform Calculation: Now, we perform the multiplication and division: degrees = 1260 / 12.Final Degree Measure: Finally, we divide 1260 by 12 to get the degree measure: degrees = 105.

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Convert the angle
(7pi)/(12) radians to degrees.
Answer:

Convert the angle $\frac{7 \pi}{12}$ radians to degrees. $\newline$ Answer:

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Precalculus

Inverses of trigonometric functions

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Q. Convert the angle

\frac{7 \pi}{12}

radians to degrees.

\newline

Answer:

Conversion Factor: 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 $(7\pi)/(12)$ radians: degrees = $(7\pi)/(12) \times (180/\pi)$ .
Simplify Expression: We can simplify the expression by canceling out the pi terms: $\text{degrees} = \frac{7 \times 180}{12}$ .
Perform Calculation: Now, we perform the multiplication and division: $\text{degrees} = \frac{1260}{12}$ .
Final Degree Measure: Finally, we divide $1260$ by $12$ to get the degree measure: degrees = $105$ .