# Trig

posted by .

Write the equation of the sine function with an amplitude of 1/7, a period of 2pi, a phase shift of 6pi, and a vertical shift of 10 units up ?

• Trig -

you should be familiar with the general equation of a sine function for the above problem.
Just insert the values, the only value needing any consideration is the period
period = 2π/k, k = 2π/(2π) = 1

so

y = (1/7) sin 1(Ø - 6π) + 10 or

y = (1/7) sin(Ø - 6π) + 10

## Similar Questions

1. ### trig

Write the equation of the sine function with an amplitude of, a period of, a phase shift of, and a vertical shift of 10 units up.
2. ### Math/Trig

Write the sine function with an amplitude of 1/4, a period of 3pi, phase shift of pi4 to the right, and a vertical shift of 4 units down.
3. ### Trig

4. Write the equation of the cosine function with an amplitude of 1/3, a period of 2pi, and a phase shift of 3pi/2. 5. Write the equation of the sine function with an amplitude of 4, a period of pi/2, and a phase shift of -pi/4.
4. ### Trig/Math

Write the equation of the cosine function with an amplitude of 1, a period of 3pi/7, a phase shift of -pi/5, and a vertical shift of 2 units down.
5. ### Trig/Math

f(x)=1/3sin(2/3x-π/4)+4 Find the amplitude, period, phase shift, and vertical shift of the function. Amplitude:1/3 Period:?
6. ### Trig/Math

f(x)=1/3sin(2/3x-π/4)+4 Find the amplitude, period, phase shift, and vertical shift of the function. Amplitude:1/3 Period:?
7. ### Alg 2 trig

Write a sine equation for period= pie, amplitude=1/2, vertical shift up 1 and phase shift left pie/4. How would the equation be written?