Question

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

Answer 1

The most general equation for the cosine function is\[y=a*\cos (bx - c)\]
Are you familiar with this? If so, what do a, b and c denote?

Answer 2

Note and remember that

\[period=\frac{ 2\pi }{ b }\]

Answer 3

and that \[phase.shift=\frac{ -c }{ 2a }\]

Answer 4

Just so you know: I need to log out now. Will be back later.

Answer 5

so, it's y=2 cos(2x-pi)

Answer 6

Nice work!