Question

Which statement regarding sinusoidal functions, sine, and cosine is accurate?

A) cos is an even function, cos(-x) = -cos(x)
B) sin is an odd function, sin(-x) = -sin(x)
C) the sin function can be reflected over the x-axis or y-axis without alteration
D) the cosine function can be reflected over the x-axis without alteration

Answer 1

The accurate statement is that sin is an odd function, sin(-x) = -sin(x).

Step-by-step explanation:

Answer: Option B) sin is an odd function, sin(-x) = -sin(x)

To determine if this statement is accurate, we need to understand the properties of sine and cosine functions. The sine function is an odd function, which means that sin(-x) = -sin(x). This can be illustrated by comparing the graphs of sin(x) and sin(-x), which are symmetrical with respect to the y-axis. On the other hand, cosine function is an even function, which means that cos(-x) = cos(x).