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kloekamakeeaina14
04.02.2020 •
Mathematics
Write a comparison using < ,> , or = to compare the fraction 1/3 and 6/12.
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Ответ:
Ответ:
Step-by-step explanation:
Sinθ =![\frac{\text{Opposite side}}{\text{Hypotenuse}}](/tpl/images/1373/5180/ef708.png)
If, sinθ = -
and π < θ < ![\frac{3\pi }{2}](/tpl/images/1373/5180/5fbae.png)
Since, sinθ is negative, angle θ will be in IIIrd quadrant.
And the measure of angle θ will be (180° + 30°)
θ = 210°
It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.
Therefore, cos(210°) =![-\frac{\sqrt{3} }{2}](/tpl/images/1373/5180/4d03d.png)
tan(210°) =![\frac{1}{\sqrt{3} }](/tpl/images/1373/5180/7feb4.png)
csc(210°) =![-\frac{1}{2}](/tpl/images/1373/5180/3e56c.png)
sec(210°) =![-\frac{2}{\sqrt{3} }](/tpl/images/1373/5180/4195a.png)
cot(210°) = √3