Question

A right triangle has side lengths a, b and c as shown below. Uses these lengths to find tan x, cos x, and sin x.

Answer 1

Answer:

See Below

Step-by-step explanation:

Tan is the ratio of "opposite" side to "adjacent side

Cos is the ratio of "adjacent" to "hypotenuse"

Sin is the ratio of "opposite" to "hypotenuse"

We will write the trig ratios with respect to the angle "x"

Opposite Side is "c"

Adjacent Side is "b"

Hypotenuse is the side opposite of 90 degree angle, "a"

Now, let's write the ratios:

$Sin \ x =\frac{c}{a}\\Cos \ x = \frac{b}{a}\\Tan \ x = \frac{c}{b}$