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son4ous [18]
2 years ago
6

Given cos(O)=3/5 and tan(O)

Mathematics
1 answer:
Valentin [98]2 years ago
3 0

Answer:

Tan(O) = 4/3

Step-by-step explanation:

According to SOH CAH TOA

cos theta = adj/hyp

cosO = 3/4

adj = 3

hyp = 5

Get the opposite

Using pythagoras theorem

opp^2 = hyp^2-adj^2

opp^2 = 5^2 - 3^2

opp^2 = 25-9

opp^2 = 16

opp = 4

Tan (O) = opp/adj

Tan(O) = 4/3

Hence Tan(O) = 4/3

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Answer:

See Below

Step-by-step explanation:

We are given 3 equations.

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First lets solve for x using the first two

3x + 8 = 5x -20

Move the variables to one side

3x + 8 = 5x -20

-3x        -3x

8 = 2x -20

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28 =2x

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Now we have x = 14

Lets plug this into the second equation to solve for the angle

3(14) + 8

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Now, lets plug the x and the angle into the third equation to find y

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y = -5

So now we have:

x = 14

y = -5

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Hope this helps!

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Step-by-step explanation:

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