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Nuetrik [128]
2 years ago
15

Match the trigonometry formula to its correct ratio. Reduce the ratio if necessary.

Mathematics
2 answers:
Mandarinka [93]2 years ago
5 0

Step-by-step explanation:

mark me as brilliant plzzz

Diano4ka-milaya [45]2 years ago
4 0

Answer:

4/3 = tan A

4/5 = sin A

3/5 = cos A

Step-by-step explanation:

Define the adjacent, hypotenuse, and opposite lengths in the triangle.

Hypotenuse: 20

Opposite: 18

Adjacent: 12

Tan, sin, and cos formulas:

  • Tan A = opposite/adjacent
  • Sin A = opposite/hypotenuse
  • Cos A = adjacent/hypotenuse

I think it should be pretty easy to do the rest by simplifying the fractions and then getting the answer!

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Help with trigonometry​
Oksanka [162]

Answer:

○B. \frac{\sqrt{6}}{2}

Step-by-step explanation:

Trigonometric Identities

\frac{y}{r} = sin\:θ

\frac{x}{r} = cos\:θ

\frac{y}{x} = tan\:θ

\frac{r}{x} = sec\:θ

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<u>Radius Formula</u>

{y}^{2} + {x}^{2} = {r}^{2}

{[-\sqrt{15}]}^{2} + {[-\sqrt{10}]}^{2} = {r}^{2} → 15 + 10 = {r}^{2} → 25 = {r}^{2}\\ \\ 5 = r

* Since we are talking about radii, we only want the NON-NEGATIVE root.

In this case, we will not be using the radius in our ratio, according to the trigonometric identity above because we are using the <em>tangent</em><em> </em>ratio:

\frac{\sqrt{6}}{2} = \frac{-\sqrt{15}}{-\sqrt{10}} = \sqrt{1\frac{1}{2}}

I am joyous to assist you anytime.

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