3.) if the period of a sinusoidal function is equal to 18, which of the following gives its frequency? 1 π/9…

3.) if the period of a sinusoidal function is equal to 18, which of the following gives its frequency? 1 π/9 3 π/18 2 18π 4 6π 4.) it is known for that a particular sine curve repeats its fundamental pattern after every 2π/7 units along the x - axis. which of the following is the frequency of this curve? 1 2/7 3 7/2 2 7 4 14

3.) if the period of a sinusoidal function is equal to 18, which of the following gives its frequency? 1 π/9 3 π/18 2 18π 4 6π 4.) it is known for that a particular sine curve repeats its fundamental pattern after every 2π/7 units along the x - axis. which of the following is the frequency of this curve? 1 2/7 3 7/2 2 7 4 14

Answer

Explanation:

Step1: Recall frequency - period formula

The formula for the frequency $f$ of a periodic function in terms of its period $T$ is $f=\frac{1}{T}$ for non - angular frequency. For a sinusoidal function in the form $y = A\sin(\omega x)$ or $y=A\cos(\omega x)$, the angular frequency $\omega=\frac{2\pi}{T}$, and the frequency $f = \frac{\omega}{2\pi}=\frac{1}{T}$.

Step2: Solve for question 3

Given $T = 18$, using the formula $f=\frac{1}{T}$, and for angular frequency $\omega=\frac{2\pi}{T}=\frac{2\pi}{18}=\frac{\pi}{9}$.

Step3: Solve for question 4

Given $T=\frac{2\pi}{7}$, using the formula $f=\frac{1}{T}$, we get $f=\frac{7}{2\pi}\times2\pi = 7$.

Answer:

  1. [1] $\frac{\pi}{9}$
  2. [2] 7