Will medal
Please help me
Solve for t
100=60tan(pi/30(t+/-60))+/-60
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OpenStudy (anonymous):
@DanJS
OpenStudy (anonymous):
@TheSmartOne
OpenStudy (anonymous):
@DanJS
TheSmartOne (thesmartone):
Sorry I don't know :/
OpenStudy (kittiwitti1):
this is what i'm getting from your equation = v=;;\[100=60tan(\frac{\pi}{30}(t\pm60)\pm60)\]
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OpenStudy (anonymous):
Yeah that's it
OpenStudy (anonymous):
The last 60 is outside the parenthesis
OpenStudy (kittiwitti1):
oh maybe that's why they were confused. but i suck with those signs so i can't help you sorry \[\pm \text{ < these signs i just don't get them}\]oh okay:\[100=60\tan(\frac{\pi}{30}(t\pm60))\pm60\]this?
OpenStudy (anonymous):
Yeah that's it
OpenStudy (kittiwitti1):
ok
sorry i can't help you though u vu;;
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OpenStudy (anonymous):
It's ok thanks
OpenStudy (anonymous):
@Nnesha
OpenStudy (anonymous):
@SolomonZelman
OpenStudy (anonymous):
@DanJS
OpenStudy (anonymous):
@Directrix
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OpenStudy (anonymous):
What have you done?
OpenStudy (anonymous):
Well when I tried to solve it I got 723 but I literally had no idea what I was doing or how I got that number
OpenStudy (anonymous):
I am completely lost
OpenStudy (anonymous):
I have no idea what you did for that either, but I guess we need two equations as it's ±
OpenStudy (anonymous):
\[\pm \]
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OpenStudy (anonymous):
\[100=60\tan(\frac{\pi}{30}(t-60))-60 \implies 160 =60\tan(\frac{\pi}{30}(t-60))\] now divide by 60 on both sides
\[\frac{ 8 }{ 3 } = \tan \left( \frac{ \pi }{ 30 }(t-60) \right)\]
Now you can take the inverse
\[\tan^{-1} \frac{ 8 }{ 3 } = \frac{ \pi }{ 30 }(t-60)\]
\[t = 60 + \frac{ 30 \tan^{-1}(8/3) }{ \pi }\]