Question

PLEASE HELP!!!!

explain why it is sometimes necessary to express the values of an angle in radians rather than degrees.

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Answer 1

I don't really have a good answer right now but this may help:

Why do we have to learn radians, when we already have perfectly good degrees? Because degrees, technically speaking, are not actually numbers, and we can only do math with numbers. This is somewhat similar to the difference between decimals and percentages. Yes, "83%" has a clear meaning, but to do mathematical computations, you first must convert to the equivalent decimal form, 0.83.

http://www.purplemath.com/modules/radians.htm

Answer 2

Radians multiplied by the radius give the length of the arc.

Answer 3

$$\text{Necessary sometimes when testing convergence. For example }\\lim_{x\to0}\frac{\sin x}{x} \text{would not make sense if you used degrees rather than radians.}$$

Answer 4

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