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Convert the angle 
theta=(29 pi)/(15) radians to degrees.
Express your answer exactly.

theta=◻" 。 "

Convert the angle θ=29π15 \theta=\frac{29 \pi}{15} radians to degrees.\newlineExpress your answer exactly.\newlineθ= \theta=\square^{\circ}

Full solution

Q. Convert the angle θ=29π15 \theta=\frac{29 \pi}{15} radians to degrees.\newlineExpress your answer exactly.\newlineθ= \theta=\square^{\circ}
  1. Conversion factor for radians to degrees: To convert radians to degrees, we use the conversion factor that π\pi radians is equal to 180180 degrees. The formula to convert from radians to degrees is:\newlineθ\theta (degrees) = θ\theta (radians) ×(180π)\times \left(\frac{180}{\pi}\right)
  2. Substituting the value into the conversion formula: Substitute θ=29π15 \theta = \frac{29\pi}{15} into the conversion formula:\newlineθ \theta (degrees) = (29π15)×(180π) \left(\frac{29\pi}{15}\right) \times \left(\frac{180}{\pi}\right)
  3. Simplifying the expression: Simplify the expression by canceling out the π\pi terms:\newlineθ\theta (degrees) = (2915)×180\left(\frac{29}{15}\right) \times 180
  4. Performing the multiplication: Perform the multiplication to find the value in degrees: θ\theta (degrees) = 29×1229 \times 12
  5. Calculating the final value in degrees: Calculate the product:\newlineθ\theta (degrees) = 348348

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