Question

Find the values of x and y. Leave answer in simplest radical form

Answer 1

x = 4/√2

y = 4/√2

Explanation:

Hypotenuse = 4

θ = 45°

x = Opposite side

y = Adjacent Side

a) Solving for x = Opposite side

We solve using Trigonometry function of Sine

sin θ = Opposite/Hypotenuse

sin 45 = x/4

Cross Multiply

x = sin 45 × 4

Note that : sin 45 = 1/√2

x = 1/√2 × 4

x = 4/√2

b) Solving for y

We solve using Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

cos 45 = x/4

Cross Multiply

x = cos 45 × 4

Note that : cos 45 = 1/√2

x = 1/√2 × 4

y = 4/√2