Finding coordinates

Question

For the function f(t) = 3sin(6t+π)+2

 

Find:

 

a) period

 

b) phase shift

 

c) The t-coordinate of the first maximum to the right of the vertical (y) axis.

 

d) The t-coordinate of the first t-intercept with positive t-coordinate.

 

I need particular help with c and d.

 

Thanks!

Answer 1

6=2pi/period

period =pi/3

phase shift =5

c) pi/6

d) 0+1/infinity