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Morgarella [4.7K]
3 years ago
14

the length of a retangle is twice its width. The perimeter of the rectangle is 126 feet. Write an equation .

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0
Check the picture below.

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Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.
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Answer:

Part 1) sin(\theta)=\frac{2}{3}

Par 2) cos(\theta)=-\frac{\sqrt{5}}{3}

Part 3) tan(\theta)=-\frac{2\sqrt{5}}{5}

Step-by-step explanation:

step 1

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we have

csc(\theta)=\frac{3}{2}

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csc(\theta)=\frac{1}{sin(\theta)}

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step 2

Find the cos(\theta)

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(\frac{2}{3})^{2} +cos^{2}(\theta)=1

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square root both sides

cos(\theta)=\pm\frac{\sqrt{5}}{3}

we have that

cos(\theta) < 0 ---> given problem

so

cos(\theta)=-\frac{\sqrt{5}}{3}

step 3

Find the tan(\theta)

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=\frac{2}{3}

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substitute

tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}

Simplify

tan(\theta)=-\frac{2\sqrt{5}}{5}

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Answer:

C.

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Step-by-step explanation:

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