Answer:
A. a = √2
b = √2
Step-by-step explanation:
Apply trigonometric function to find a and b:
Reference angle = 45°
Hypotenuse = 2
Opposite side = a
Adjacent side = b
✔️Apply SOH to find a, which is:
Sin 45 = Opp/Hyp
Sin 45 = a/2
2*Sin 45 = a
2*1/√2 = a (sin 45 = 1√2)
2/√2 = a
Rationalize
(2*√2)/(√2*√2) = a
2√2/2 = a
√2 = a
a = √2
✔️Apply CAH to find b, which is:
Cos 45 = Adjacent/Hypotenuse
Cos 45 = b/2
2*Cos 45 = b
2*1/√2 = b (Cos 45 = 1√2)
2/√2 = b
Rationalize
2√2/2 = b
√2 = b
b = √2
