Question

Write the ratios for sin x, cos x and tan x

Answer 1

Answer:

sin(x)=$\sqrt{119\\}$ / 12, cos(x)=5/12, tan=$\sqrt{119\\}$ / 5

Step-by-step explanation:

segment YZ is length a, we need to find a

segment XZ is length 5

segment XY is length 12

XYZ is a right triangle, so a^2 + b^2 = z^2, so

a^2 + 5^2 = 12^2, simplify

a^2 + 25 = 144, subtract 25

a^2 = 119

a = $\sqrt{119\\}$

then we can determine all the trig ratios

soh - cah - toa

sin = opp/hyp, cos=adj/hyp, tan=opp/adj

sin(x)=$\sqrt{119\\}$ / 12, cos(x)=5/12, tan=$\sqrt{119\\}$ / 5