Convert the angle (7pi)/(4) radians to degrees. Answer:

Conversion Factor: To convert radians to degrees, we use the conversion factor that π radians is equivalent to 180 degrees. The formula to convert from radians to degrees is: Degrees = Radians * (180/π)Apply Formula: Now, we apply the formula to the given angle (7π/4) radians: Degrees = (7π/4) * (180/π)Simplify Expression: We can simplify the expression by canceling out the π in the numerator and the denominator: Degrees = (7/4) * 180Multiply Values: Next, we multiply 7/4 by 180 to find the degree measure: Degrees = 7 * 45Calculate Product: Finally, we calculate the product: Degrees = 315

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Convert the angle
(7pi)/(4) radians to degrees.
Answer:

Convert the angle $\frac{7 \pi}{4}$ 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}{4}

radians to degrees.

\newline

Answer:

Conversion Factor: To convert radians to degrees, we use the conversion factor that $\pi$ radians is equivalent to $180$ degrees. The formula to convert from radians to degrees is: $\newline$ Degrees = Radians $\times \left(\frac{180}{\pi}\right)$
Apply Formula: Now, we apply the formula to the given angle $(7\pi/4)$ radians: $\newline$ Degrees = $(7\pi/4) * (180/\pi)$
Simplify Expression: We can simplify the expression by canceling out the $\pi$ in the numerator and the denominator: $\newline$ Degrees = $(\frac{7}{4}) \times 180$
Multiply Values: Next, we multiply $\frac{7}{4}$ by $180$ to find the degree measure: $\newline$ Degrees = $7 \times 45$
Calculate Product: Finally, we calculate the product: Degrees = $315$