Answer:
3rd option
Step-by-step explanation:
Answer:
○![\displaystyle -\frac{2\sqrt{3}}{3}\:[or\:-\frac{2}{\sqrt{3}}]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B3%7D%5C%3A%5Bor%5C%3A-%5Cfrac%7B2%7D%7B%5Csqrt%7B3%7D%7D%5D)
Step-by-step explanation:
You have to know the Unit Circle on this one. So, to start off, in the degree-angle range from 180° - 270° [Quadrant III], you must figure out the cosine value that gives you −½, and according to the graph, <em>theta</em><em> </em>will be represented as 240°. So, now that we have our <em>θ</em>, looking at the <em>y-value</em><em> </em>240°, since we want the <em>cosecant</em><em> </em>function, all we have to do is take the multiplicative inverse of 
which gives you 
Extended Information
![\displaystyle -\frac{2\sqrt{3}}{3} = [-\frac{\sqrt{3}}{2}]^{-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-%5Cfrac%7B2%5Csqrt%7B3%7D%7D%7B3%7D%20%3D%20%5B-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%5D%5E%7B-1%7D)
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Answer:
C. None of the above
Step-by-step explanation:
<u><em>Which expressions are equivalent to -f-5(2f-3)−f−5(2f−3) ?
</em></u>
<u><em>A. -11f - 3
</em></u>
<u><em>B. -11f + 15
</em></u>
<u><em>C. None of the above</em></u>
To find the expressions that are equivalent to -f-5(2f-3)−f−5(2f−3), we will follow the steps below:
-f-5(2f-3)−f−5(2f−3)
lets start by opening the parentheses
-f -10f+ 15-f-10f + 15
add the like terms together
-f -10f-f-10f + 15+ 15
-22f + 30
The expression -f-5(2f-3)−f−5(2f−3) is equivalent to -22f + 30
Therefore non of the first to option is equivalent to the given expression, hence the correct option is c. none of the above
