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tatyana61 [14]
2 years ago
15

Find the ratio of the trig function indicated.

Mathematics
1 answer:
Andrew [12]2 years ago
5 0

Answer:

\huge\boxed{\bf\:Ratio = 4:5}

Step-by-step explanation:

We have a right angled triangle given.

At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.

Now, in the given triangle, from the view of ∠θ,

  • Opposite side of the triangle = 8
  • Hypotenuse = 10

Then,

\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}

\rule{150pt}{2pt}

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Combine like terms: -4x+4x=0

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