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ikadub [295]
2 years ago
10

Given cosθ=√3/3 and sinθ<0. What is the value of sinθ?

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
5 0

\sin^{2} \theta+\cos^{2} \theta=1 \\ \\ \sin^{2} \theta+\left(\frac{\sqrt{3}}{3} \right)^{2}=1 \\ \\ \sin^{2} \theta+\frac{1}{3}=1 \\ \\ \sin^{2} \theta=\frac{2}{3} \\ \\ \theta=-\frac{\sqrt{2}}{\sqrt{3}}=\boxed{-\frac{\sqrt{6}}{3}}

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Answer:

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Step-by-step explanation:

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8 0
3 years ago
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First find average
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4 0
3 years ago
The point (p,q) is on the graph of values from a ratio table. What is another point on the graph?
Anestetic [448]

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When both quantities in a ratio have the same units, it is not necessary to state the unit.  For instance, let's compare the quantity of chocolate chips used when Mary and Quinn bake cookies.  If Mary used 6 ounces and Quinn used 9 ounces, the ratio of Mary's usage to Quinn's would be 2 to 3 (note that the order of the numbers must correspond to the verbal order of the items they represent).  How do we get this?       One way would be to build a table where the second row was always one and a half times as much as the first row.  This is the method we used in the first two lessons.  Another way is to express the items being compared as a fraction complete with units:

<span>6 ounces
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8 0
3 years ago
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3 0
3 years ago
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Answer:

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/ \ / \

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/ \ / \

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/ \

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6 0
3 years ago
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