The coordinates of the five quarter points for y=sin(x) are given below.

Use these quarter points to determine the y-coordinates of the quarter points of y=2sin(1/4x).

(0,0)

(π/2,1)

(π,0)

(3π/2,−1)

(2π,0)

​(Type ordered pairs. Type exact​ answers, using π as needed. Use integers or fractions for any numbers in the​ expressions.)

- I asked someone earlier for help, but that person was not specific on how he got the answers. Please do step 1, step 2 e.t.c. This is new to me, so I'll have no idea how to solve questions like this if the steps are broad. I need steps,specifics,work, in order to solve others. I want to know HOW the answers are achieved​, not just broad steps. Please teach me. Thank You.

1 answer

the only thing you need to remember is that sin(kx) has period 2π/k

So, divide that period into four parts, as shown in your example above, then evaluate y at each value of x.

Where do you get stuck in that?