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lara31 [8.8K]
4 years ago
14

1-2 Write an equation for each situation.

Mathematics
1 answer:
Anestetic [448]4 years ago
5 0

Answer:

y = 2.25x + 2.80

Explanation:

$2.25 dollars per box.

$2.80 Shipping is always added.

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<h3>Question 1 ~</h3>

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If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.
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The correct answers are:
1) sin(x) = \frac{ \sqrt{3} }{2}
2) tan(x) = \sqrt{3}

Explanation:
Given:
cos(x) =  \frac{1}{2}

Step 1:
Since, according to the Trigonometric identity:
sin^2(x) + cos^2(x) = 1 -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x)  =  \frac{3}{4}

Step 3:
Take square-root on both sides:
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sin(x) = \frac{ \sqrt{3} }{2}

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tan(x) = \frac{sin(x)}{cos(x)} --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }

Hence tan(x) = \sqrt{3}
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