What is the unit circle value of tan 120, 135, and 150 degrees?
2 Answers
![](https://profilepictures.socratic.org/48J0XLK1To2NunsG33ct_11.jpg)
Explanation:
Use
From a trig circle or a
From a trig circle or a
From a trig circle or a
![](https://profilepictures.socratic.org/MjafVNH7QOaeb7whyr6R_sef.jpg)
Explanation:
Let's use the unit circle to find the values
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#color(blue)(tan(120^circ)#
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We have the values of
So, use the identity
#color(brown)(tan(theta)=( sin(theta))/(cos(theta))#
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#color(orange)(tan(135^circ)#
#color(brown)(tan(theta)=( sin(theta))/(cos(theta))#
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#color(purple)(tan(150^circ)#
#color(brown)(tan(theta)=( sin(theta))/(cos(theta))#
Here is the most important part. The denominator is an irrational number, so multiplu both numerator and denominator by
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Hope this helps!!! :)