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uysha [10]
3 years ago
12

Help with trigonometry​

Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

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

\frac{r}{y} = csc\:θ

\frac{x}{y} = cot\:θ

<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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