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  • 19-10-2021
  • Mathematics
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Using the unit circle, determine the value of tan(120°)

choices are
sqrt3/3
-sqrt3
- sqrt3/2
sqrt3/2

Using the unit circle determine the value of tan120 choices are sqrt33 sqrt3 sqrt32 sqrt32 class=

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kamilmatematik100504
kamilmatematik100504 kamilmatematik100504
  • 19-10-2021

Answer:  -√3

Step-by-step explanation:

  • The tangent is positive in the II and III quarters
  • A is negative in the I and IV quarters
  • [tex]\displaystyle \sf \large \boldsymbol {} \boxed{tg(x-y)=\frac{tgx-tgy}{1+tgx\cdot tgy} }\\\\\ \\ tg(180-60)= \frac{tg180-tg60}{1+tg180} =\frac{0-tg60}{1-0}=-tg60=-\sqrt{3} \\\\or\\\\tg120=tg(180-60)= -tg60= \boxed{-\sqrt3}[/tex]
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