Question

Writing Trigonometric Ratios -
Consider △XYZ
What are the ratios of sine, cosine, and tangent for angle Y?

Answer 1

Option3 is the answer..!!!

Answer 2

Hello!

Let's review our trigonometric ratios.

$Sine= \frac{opposite}{hypotenuse}$

$Cosine= \frac{adjacent}{hypotenuse}$

$Tangent=\frac{opposite}{adjacent}$

Let's look which lines are opposite, adjacent, and hypotenuse.

Opposite: XZ

Adjacent: YZ

Hypotenuse: XY

Let's plug these into our ratios.

$SinY= \frac{XZ}{XY}$

$CosY=\frac{YZ}{XY}$

$TanY=\frac{XZ}{YZ}$

As you can see, these numbers match answer C.

I hope this helps!