Top ideas for making high school science students think in Radians rather than Degrees?
e.g. for angular velocities etc?
I say "making". I mean "convincing them it's just easier". Or maybe even "deep understanding"
This is a fundamental thing I struggled with at that age, it'd be nice to describe well.
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If anything they do involves looking at derivatives and/or Taylor series of trig functions, using anything other than radians is going to be a pain.
Perhaps showing some situations where using e^i\phi{} instead of individual trig functions would help? Maybe how easy it is to do things with electrical impedance if you just treat it as a complex number and behave as if everything was just a resistor?
