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montrellgoodman5890
20.10.2019 •
Mathematics
Find all solutions of sqrt(3)tan(3x) = 0
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Ответ:
x= nπ/3
Step-by-step explanation:
We are given that:![\sqrt{3}*tan(3x) = 0](/tpl/images/0337/7484/ae043.png)
Divide both sides by![\sqrt{3}](/tpl/images/0337/7484/ba4cb.png)
=>![\frac{\sqrt{3}*tan(3x)}{\sqrt{3}} = \frac{0}{\sqrt{3}}](/tpl/images/0337/7484/28caf.png)
=> tan(3x) = 0
we know that arctan(0) = nπ
Therefore,
3x = nπ
or
x= nπ/3 (where n belongs to positive and negative integers)
Ответ: