Convert the angle (9pi)/(4) radians to degrees. Answer:

Conversion Factor Application: To convert radians to degrees, we use the conversion factor that π radians is equivalent to 180 degrees. The conversion formula is: Degrees = Radians × (180/π)Formula Application: Now, we apply the formula to the given angle (9π/4) radians: Degrees = (9π/4) × (180/π)Expression Simplification: We can simplify the expression by canceling out the π in the numerator and the denominator: Degrees = (9/4) × 180Degree Calculation: Now, we multiply 9/4 by 180 to find the degree measure: Degrees = 9 × 45 Degrees = 405

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Convert the angle
(9pi)/(4) radians to degrees.
Answer:

Convert the angle $\frac{9 \pi}{4}$ radians to degrees. $\newline$ Answer:

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Precalculus

Inverses of trigonometric functions

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Q. Convert the angle

\frac{9 \pi}{4}

radians to degrees.

\newline

Answer:

Conversion Factor Application: To convert radians to degrees, we use the conversion factor that $\pi$ radians is equivalent to $180$ degrees. The conversion formula is: $\newline$ Degrees = Radians $\times \left(\frac{180}{\pi}\right)$
Formula Application: Now, we apply the formula to the given angle $9\pi/4$ radians: $\newline$ Degrees = $(9\pi/4) \times (180/\pi)$
Expression Simplification: We can simplify the expression by canceling out the $\pi$ in the numerator and the denominator: $\newline$ Degrees = $(\frac{9}{4}) \times 180$
Degree Calculation: Now, we multiply $\frac{9}{4}$ by $180$ to find the degree measure: $\newline$ Degrees = $9 \times 45$ $\newline$ Degrees = $405$