Radians v. Degrees

1. The problem statement, all variables and given/known data

The voltage across a 60μF capacitor is described by the equation vC =(18 V) cos(200t), where t is in seconds.

What is the voltage across the capacitor at t =0.010 s?

2. Relevant equations


3. The attempt at a solution

When you use degrees the answer is 18V and when you use radians its -7.5 V (the correct answer). Can someone explain why you must use radians here? It’s been a while since using these in math class so the simpler explanation the better if you wouldn’t mind 🙂 (maybe I am missing something obvious).



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