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Jonathan Z.

asked • 05/16/20

How do you solve for t in 50 = 90sin(2pi*t / 26 + 3pi / 2) +115

50 = 90sin(2pi*t / 26 + 3pi / 2) +115


I am not allowed to solve this by drawing a graph. Hence, I have to show working.


I understand that I have to carry over the 115 and divide both sides by 90 which will get me


sin(2pi*t/26 + 3pi/2) = -13/18


For the next step, I think I am wrong as I did this


2pi*t/26 + 3pi/2 = 0.807

26(0.807 - 3pi/2) / 2pi

=-16.16


-16.16 + pi = -13

2pi - (-16.16) = 22.44


This is clearly wrong as the answers are 3.16 and 22.8 according to desmos. Is there a concept I am unaware of? Regardless, it would be best if you could show me the correct working anyway.

1 Expert Answer

By:

Jonathan Z.

Thanks a lot, you saved my skin!
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05/16/20

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