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Irina18 [472]
3 years ago
13

What is the period for the function y = -4 cos (5x +3)? (4.3)

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0

The periodicity of function is \frac{2 \pi}{5}

<em><u>Solution:</u></em>

Given that we have to find the period of function

<em><u>Given function is:</u></em>

y = -4 + cos(5x+3)

<em><u>Use the below formula:</u></em>

\mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}

Thus,

Peridocity\ of\ cos(5x + 3) - 4 = \frac{\text{periodicity of cos(x)}}{5}

Now find the periodicity of cos(x)

We know that,

periodicity of cos(x) = 2 \pi

Therefore,

Peridocity\ of\ cos(5x + 3) - 4 = \frac{2 \pi}{5}

Thus the periodicity of function is \frac{2 \pi}{5}

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