graceharagan graceharagan
  • 25-11-2018
  • Mathematics
contestada

Use the unit circle to find the value of tan 30

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znk
znk znk
  • 25-11-2018

Answer:

[tex]\frac{\sqrt{3}}{3}[/tex]

Explanation:

[tex]\sin(30^{\circ}) = \frac{1 }{2 }[/tex]

[tex]\cos(30^{\circ}) = \frac{\sqrt{3} }{2 }[/tex]

[tex]\tan(30^{\circ}) = \frac{\text{opposite} }{\text{adjacent} }[/tex]

[tex]\tan(30^{\circ}) = \frac{\frac{1 }{2 }} {\frac{\sqrt{3} }{ 2}}[/tex]

[tex]\tan(30^{\circ}) = \frac{1 }{2 } \times{\frac{2}{\sqrt{3} }}[/tex]

[tex]\tan(30^{\circ}) = \frac{1}{\sqrt{3}}[/tex]

[tex]\tan(30^{\circ}) = \frac{\sqrt{3}}{3}[/tex]

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