Question

Rewrite the cosine function f(x)=cos(13x−π6)
as a translated sine function.(1 point)

f(x)=sin(13(x+π))


f(x)=sin(13x−π3)


f(x)=sin(13x+π)


f(x)=sin(13x)

Answer 1

Use cos θ = sin(θ + π/2). Let θ = 13x − π/6:

f(x) = cos(13x − π/6) = sin(13x − π/6 + π/2) = sin(13x + π/3).

(Equivalently f(x) = sin(13(x + π/39)).)

Note: sin(13x + π/3) is the correct translated sine; none of the four given choices match this.