Unit Circle Practice

The secant of an angle in a right triangle is the ratio of the length of the hypotenuse to the length of the adjacent side. In the unit circle, sec(θ) = 1/cos(θ).

The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side. In the unit circle, tan(θ) = sin(θ)/cos(θ).

cos(0°) = 1.

sin(x) = 0 at integer multiples of π, i.e., x = nπ where n is an integer.

sin(120°) = √3/2.

cos(π/3) = 1/2.

tan(π/4) = 1.

In the unit circle, sin(θ) is the y-coordinate and cos(θ) is the x-coordinate of the point on the circle corresponding to the angle θ.

sec(7π/6) = 2/√2.

tan(7π/4) = -1.