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3 years ago

Find all solutions of sqrt(3)tan(3x) = 0

Mathematics

1 answer:

Olenka [21]3 years ago

6 0

Answer:

x= nπ/3

Step-by-step explanation:

We are given that: $\sqrt{3}*tan(3x) = 0$

Divide both sides by $\sqrt{3}$

=> $\frac{\sqrt{3}*tan(3x)}{\sqrt{3}} = \frac{0}{\sqrt{3}}$

=> tan(3x) = 0

we know that arctan(0) = nπ

Therefore,

3x = nπ

x= nπ/3 (where n belongs to positive and negative integers)

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