trigonometric functions

Question

Sketch the function .

Answer 1

Hi Commenwealth,

1) Period: 2Π/2 = Π

2) Draw coordinate plane and show point (Π, 0) on the x-axis

3) Segment 0 to Π divided by four then show Π/4, Π/2, 3Π/4 Π

4) show (0, 1/2) and ( 0, -1/2) on the y-axis

5) Follow the graph of cosine from point (0,1/2) then (Π/4 , 0) and minimum at (Π/2, -1/2) then arrive to the point (3Π/4 , 0) and final point is (Π, 1/2)

I hope it is useful,

Minoo