Question

Can someone help write the ratios for sin x,cos x and tan x

Answer 1

See below.

Explanation:

A helpful way to memorize these 3 ratios is by using the mnemonic below.

SOH-CAH-TOA:-

Sine=Opposite/Hypotenuse - Cosine= Adjacent/Hypotenuse - Tangent= Opposite/Adjacent.

So for the given triangle:-

sin X = 4√5/12 = √5/3.

cos x = 8/12 = 2/3.

tan x = 4√5/ 8 = √5/2