Find the sine, cosine, and tangent of 45 degrees.

√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)

step-by-step explanation:

step-by-step explanation:

b and c