Q. Convert the angle θ=1529π radians to degrees.Express your answer exactly.θ=□∘
Conversion factor for radians to degrees: To convert radians to degrees, we use the conversion factor that π radians is equal to 180 degrees. The formula to convert from radians to degrees is:θ (degrees) = θ (radians) ×(π180)
Substituting the value into the conversion formula: Substitute θ=1529π into the conversion formula:θ (degrees) = (1529π)×(π180)
Simplifying the expression: Simplify the expression by canceling out the π terms:θ (degrees) = (1529)×180
Performing the multiplication: Perform the multiplication to find the value in degrees: θ (degrees) = 29×12
Calculating the final value in degrees: Calculate the product:θ (degrees) = 348
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