Answer:
The period is
[tex]\frac{2\pi}{5} [/tex]
The frequency is
[tex] \frac{5}{2\pi} [/tex]
Explanation:
The period of both functions will be LCM of both period.
The period of cos is
[tex] \frac{\pi}{5} [/tex]
The period of sin is
[tex] \frac{2\pi}{15} [/tex]
Let convert each into degrees.
[tex] \frac{\pi}{5} = 36[/tex]
[tex] \frac{2\pi}{15} = 24[/tex]
Find the least common multiple between 36 and 24, which is 72.
Convert 72 into radians
[tex]72 = \frac{2\pi}{5} [/tex]
The period is 2pi/5.
The frequency is equal to
1/period.
so the frequency is
[tex] \frac{1}{ \frac{2\pi}{5} } = \frac{5}{2\pi} [/tex]
