Given:
45°- 45°- 90°
one leg is equal to 2
Work:
The rules for a 45°- 45°- 90° state that both leg are equal to eachother and because of this the hypotenuse is equivalent to x√2. Because of this, we know that the other leg is equivalent to 2, and that since 2 = x, the hypotenuse is 2√2.
Sine = o/h (opposite/hypotenuse)
o = 2
h = 2√2
sinθ = 2/(2√2) --> (2√2)/4 --> √2/2
Tangent = o/a (opposite/adjacent
o = 2
a = 2
tanθ = 2/2 --> 1
Answer:
sinθ = √2/2
tanθ= 1
I hope this helps!
