A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
26. The water depth in a harbor is 25 m at high tide occurring at midnight, and 9 m at low tide. One cycle is completed approximately every 12 hours.
a) Find a sine and cosine equation for the water depth as a function of time, t hours starting at high tide
anonymous
 4 years ago
26. The water depth in a harbor is 25 m at high tide occurring at midnight, and 9 m at low tide. One cycle is completed approximately every 12 hours. a) Find a sine and cosine equation for the water depth as a function of time, t hours starting at high tide

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i just need help with creating the sine equation I got some values already I got A = 25 , B = 30, D = 17 i just wanna find the value C ] y = Asin[B(x  C)] + D

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The amplitude of the wave A, is the maximum displacement from the average height:\[A=\frac{259}{2}\] the frequency, given by 2pi divided by the period of the wave should be \[B = \frac{2\pi}{12}\] C can equal 0 in this case since you're starting at high tide if you assume a cosine function. and the value for D should be the displacement from the origin. or the difference between your amplitude and you're actual highest point. \[D=258=17\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0use the identity sin(x+pi/2)=cos(x)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0can you do that for me

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0.... if you have \[A\sin (B x+C) + D = A \cos( B x )+D\] then C must be pi/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0y = 8sin[30(x  C)] + 17 tell me how would i solve for C and can you show me your answer

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0C = 9 according to my answer sheet

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ah jeeze, I'm sorry... this is what I get for not understanding the question fully, C = 270 degrees in degrees, but you want how many hours its offset by in order for it to be a sine wave instead of a cosine wave right? so what you'd want to do it displace the wave off by what would be 270 degrees, but since a full rotation is 360 degrees, which is how you got that 30 there, you would take 360 and multiply it by 3/4 giving you 270 which when you factor that 30 out you get the 9 that your answer sheet gives Sorry I didn't get it at first.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how do you know the wave has to be ofsetted by 270 degrees and not any other value

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0that's that identity i was talking about, when you switch Pi/2 from radians into degrees it's equal to 90 degrees, which when you subract from 360 gives you 270.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.