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Alex73 [517]
3 years ago
5

Marco wrote the equation below.

Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

It is true, because the cosine function has a period of 2π


Step-by-step explanation:

Since, the period of the cos function is 360° ( or 2π radians ), it holds the property of:

Cos(\theta)=Cos(2\pi +\theta)


Taking \theta as -\frac{\pi}{2}, (2\pi + \theta) is equal to  2\pi + (-\frac{\pi}{2})\\=2\pi - \frac{\pi}{2}\\=\frac{4\pi-\pi}{2}\\=\frac{3\pi}{2}

The equation is true!

<u>Note:</u> The cos function is even function


Hence, the equation is true, because the cosine function has a period of 2π, NOT because the cosine function is ODD, which it is not!!

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