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 ?

Answer 1

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