Posted by **Jon** on Thursday, August 6, 2009 at 11:29am.

Write an equation of the cosine function with amplitude 2, period pi, phase shift pi/4.

y=acosx

y=2cos2(x-pi/4)

I got it wrong

- Advanced Math -
**Aayush**, Thursday, August 6, 2009 at 11:56am
The general equation of such cosine function is:y=acos(x-phasedifference),

y=displacement

a=amplitude

x=angular displacement

=(angular velocity)*time

=(2pi/time period)*time

Therefore, the equation can be written as: y=2cos[x-(pi/4)]..........(a)

or,y=2cos[(2pi/pi)*t-(pi/4)]

or,y=2cos[2t-(pi/4)].........(b)

where t=time

Mathematically, equation (a) is suitable

Physically, equation (b) is suitable

## Answer This Question

## Related Questions

- Analysis - Write an equation of a cosine function with Amplitude=4, Period=pi/2...
- Trig - 4. Write the equation of the cosine function with an amplitude of 1/3, a ...
- Trigonometry - Write an equation of the cosine function with the given amplitude...
- Math - Write an equation of a cosine function with Amplitude=4, Period=pi/2, and...
- Trig/Math - Write the equation of the cosine function with an amplitude of 1, a ...
- Math - write an equation of a cosine function with Amplitude=1/2, Period=6pi, ...
- Precalculus - State the amplitude, period, and phase shift of the function. h(t...
- Trigonometry - 4. Write the equation of the cosine function with an amplitude ...
- Trig - Find the amplitude, period, and phase shift of the following function: y...
- Trigonometry - Write the equation of a sine wave (also called sine curve) given...

More Related Questions