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anonymous
 one year ago
can anyone help me find 't' when v=50 in the following equation please? (including steps)
v=100sin(200*pi*t+(pi/4))
Thanks in advance!
anonymous
 one year ago
can anyone help me find 't' when v=50 in the following equation please? (including steps) v=100sin(200*pi*t+(pi/4)) Thanks in advance!

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Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1v=100sin(200*pi*t+(pi/4)) substitute 50 for v, giving us 50=100sin(200*pi*t+(pi/4)) divide both sides by 100, giving us (1/2) = sin(200*pi*t+(pi/4)) with me so far?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1next step is to take the arcsin of both sides, which will "undo" the sin on the right side arcsin(1/2) = 200*pi*t+(pi/4) rearrange to solve for t

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0cheers @Vocaloid. That's more or less where i got up to, the next step would be to subtract (pi/4) from both sides the divide both sides by 200*pi right? (arcsin(1/2)(pi/4))/200*pi=t (30(pi/4))/628.3=t The other examples which I found on this question had 30+(pi/4). Just trying to find out which is right.... Here's the other example: When V=50V then 50V= 100Sin(200*pi*t+0.785) 50/100=Sin(200*pi*t+0.785) (200*pi*t+0.785)=arcsin 50/100 =30degrees or 0.524rad 200*pi*t= 0.524+0.785 = 1.309 So when V=50v Time t = 1.309/200*pi = 2.08ms

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1yeah, your answer looks right to me, I'm not sure how they got 30+(pi/4)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ah cool. Thanks for that. I'm not exactly a math wizard so wasn't sure if I'd missed a trick somewhere. Have a good day!
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