Question

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

f(x)=sin(13x+π)

f of x is equal to sine of open paren 1 third x plus pi close paren

f(x)=sin(13x)

f of x is equal to sine of open paren 1 third x close paren

f(x)=sin(13x−π3)

f of x is equal to sine of open paren 1 third x minus pi over 3 close paren

f(x)=sin(13(x+π))

Answer 1

Use cos θ = sin(θ + π/2). So

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

Thus f(x) = sin(13x + π/3).