Answer:
√2/2, √2/2, 1
Step-by-step explanation:
On a unit circle, sine is the y-coordinate, cosine is the x-coordinate, and tangent is the slope.
Tangent: since the angle is 45°, it is right between 90° and 0°. As the image shows, that place is where x = y. Therefore, the slope is 1.
Cosine + Sine: We can find the intersection of x = y and x² + y² = 1:
Substitute: x² + x² = 1
Simplify: 2x² = 1
Divide: x² = 1/2
x = y = ±√1/2 = ±1/√2 = ±√2/2
Since we are looking for the cos and sin of 45°, both numbers will be positive. So, √2/2.
(In the end it comes down to how well you know the unit circle, this will be easier with practice and familiarity)
