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KiRa [710]
2 years ago
11

Determine an exact value for sin _ 3π/4-tan 5π/6

Mathematics
1 answer:
iris [78.8K]2 years ago
6 0

Answer:

\frac{3\sqrt{2}+2\sqrt{3}}{6} or \frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}

Step-by-step explanation:

\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}

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hint NOT answer-

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3 years ago
Solve x/3 = x+2/2. X=
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Answer:

I will assume that the term "x+2/2" is meant to be "(x + 2)/2)."  Otherwise the equation would read (x/3) = x + 1

Step-by-step explanation:

(x/3) = (x + 2)/2

x = 3*(x+2)/2   [Multiply both sides by 3]

x = (3x + 6)/2

x = (3/2)x + 6/2

x - (3/2)x = 3

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====================

Check:

Does (x/3) = (x + 2)/2 for x = -6?

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2 years ago
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Shkiper50 [21]
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3 years ago
) Turner helped his grandfather build a raised garden bed for Turner's grandmother. The
worty [1.4K]

The length of the garden bed is 6 feet

<h3>The volume of a rectangular prism</h3>

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In order to determine the length of the garden;

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Learn more on volume of rectangular prism here: brainly.com/question/24284033

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Answer:

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