Question

Use the table to answer the question.

This table shows values of the sine function at regular intervals of π/2.
x 0 π2
π
3π2
2π

f(x) 1 0 −1
0 1
The values of a sine function at intervals of π2
have been recorded in the table.

Identify the value of the phase shift (c)
and write the equation of the function.

(1 point)

f(x)=sin(x+π2)


f(x)=sin(x+π)


f(x)=sin(x−π2)


f(x)=sinx+π2

Answer 1

The data match cos x, and cos x = sin(x + π/2). So the equation is f(x) = sin(x + π/2). The phase shift is c = -π/2 (a left shift of π/2).