Write an equation for a graph if period = 180, and amplitude = 6..

Given this information, is 6tanx not a proper answer? The back of the book says that the answer is 6sinx (2x)

Tan x cannot have an amplitude, as tan 90 deg goes to infinity.

use sin or cosine functions.

To write an equation for a graph with a period of 180 and an amplitude of 6, we need to consider the properties of the trigonometric functions sine and tangent.

The general form of a sinusoidal function is y = A sin(Bx + C), where A represents the amplitude, B determines the frequency (and consequently the period), and C represents any phase shift.

For the given period of 180, we can calculate B using the formula B = 2π / period. Substituting the value of period = 180 into the formula, we get B = 2π / 180 = π/90.

Now, to determine whether 6tan(x) is a proper answer, we should consider the graph of the tangent function. The tangent function has a period of π, which does not match the given period of 180. Therefore, 6tan(x) is not a proper answer in this case.

On the other hand, the sine function does have a period of 2π, which can be adjusted to match a given period by multiplying x by an appropriate constant. In this case, the correct equation for our graph would be y = 6sin(2x).

So, the back of the book is correct, and the equation for the given graph is indeed 6sin(x) (2x).