The equation describing the motion of an object is y=0.8cos(4.2t+0.32). What is its period?
I don't know how to figure this out?
To determine the period of a trigonometric function like y = A * cos(Bt + C), we need to identify the value of B (the coefficient of t). In this case, B is 4.2.
The period (T) of a cosine function is given by the formula T = (2π) / |B|.
So, to find the period in this equation, we first take the absolute value of B, which is 4.2. Then we divide 2π by 4.2: T = (2π) / 4.2.
Therefore, the period of the given equation is T ≈ 1.497, or approximately 1.5 units of time.
To calculate the value of B, you can inspect the equation and identify the coefficient of t. In this case, it is 4.2. However, for more complex equations, you may need to rearrange terms or apply trigonometric identities to find the coefficient.