Monday

December 22, 2014

December 22, 2014

Posted by **Axel** on Wednesday, July 30, 2014 at 8:19pm.

1. Write the equation for the depth in the form of y=A cos B (t- C)+D, where t=time in seconds and y=depth in feet.

2. Write the equation for the depth in the form of y=A sin B (t- C)+D, where t=time in seconds and y=depth in feet.

- Math -
**Steve**, Wednesday, July 30, 2014 at 9:06pmsince y is a max when t=0, we want a cosine function, since cos(0) = 1.

y = 7+3cos(pi/20 t)

because the period is 40 seconds, and the level varies between 7+3 and 7-3 feet..

C=0 because cosine is a max at t=0, so there is no offset.

Naturally, you can now write the sine function, since cos(x) = sin(pi/2 - x)

- Math -
**Jane**, Wednesday, July 30, 2014 at 9:44pmhow can i put that in the form of A cos B (t- C)+D and A sin B (t- C)+D?

- Math -
**Steve**, Thursday, July 31, 2014 at 5:31amsurely you can see that

A=3

B=pi/20

C=0

D=7

I mean, just read it off.

Now employ your skills to convert your cos(x) to sin(pi/2-x)

A and D stay the same.

**Answer this Question**

**Related Questions**

Calculus - Water is leaking from the bottom of a tank in the shape of an ...

6th grade math - the water level of a river is 50 feet. After one day,the water ...

6th grade math - the water level of a river is 50 feet. After one day,the water ...

AP calculus AB - Water pours out of a conical tank of height 10 feet and radius ...

Math - A conical tank (with its vertex down) is 8 feet tall and 6 feet across ...

related rates problems - Water pours out of a conical tank of height 10 feet and...

Math - A conical water tank with vertex down has a radius of 10 feet at the top ...

math - calc - A conical water tank with vertex down has a radius of 12 feet at ...

math - calc - A conical water tank with vertex down has a radius of 12 feet at ...

math - A cylindrical tank is lying horizontally on the ground, its diameter is ...