50 POINTS Plz answer if you know plzz try...

The motion of a yo-yo is represented by a sine function. A trick rotates the yo-yo 6 times in a total of 2π seconds.

Which function rule could model this situation?

f(x)=6 sin x
f(x)=3 sin(2x)
f(x)= sin(1/6x)
f(x)= sin(6x)

need more info

step-by-step explanation:

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81