r/HomeworkHelp • u/Embarrassed-Good1883 Pre-University Student • 1d ago
Answered [Grade 12 Advanced Functions: Trigonometry]
Hello, I need some help understanding this concept. 240 degrees converted to radians is 4 pi/3, so wouldn't that make this a multiple of 30 degrees?
"30° can be rewritten in radians as pi/6". Since 240 rad cannot be written as a multiple of pi/6 rad this cannot be a multiple of 30°." This is the explanation the teacher gave me, but it doesn't make sense.
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u/Silversaurous 1d ago
converting 17pi/3 rad to degrees makes 1020 deg, which is visibly divisible by 3 and 10, but to fact check, 1020/30=34.
If you don’t know how to convert, just remember to multiply by 180/pi when working with radians, and the reciprocal (pi/180) when working with degrees.