Question

What does please put it in simplest radical form and rationalize the denominators
N=
M=

Answer 1

n = 6

m = 6√3

Explanation:

Reference angle = 30°

Opposite = n

Adjacent = m

Hypotenuse = 12

✔️To find n, apply the trigonometric ratio, SOH:

Sin 30° = Opp/Hyp

Sin 30° = n/12

n = Sin 30° × 12

n = ½ × 12 = 6

✔️To find m, apply the trigonometric ratio, CAH:

Cos 30° = Adj/Hyp

Cos 30° = m/12

m = Cos 30° × 12

m = √3/2 × 12 (cos 30 = √3/2)

m = √3 × 6

m = 6√3