Unit Circle Practice

Front

What is the secant (sec) of an angle?

Back

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).

Front

What is the tangent (tan) of an angle?

Back

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).

Front

What is the cosine (cos) of 0 degrees?

Back

cos(0°) = 1.

Front

When does sin(x) equal 0?

Back

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

Front

What is sin(120°)?

Back

sin(120°) = √3/2.

Front

What is the value of cos(π/3)?

Back

cos(π/3) = 1/2.

Front

What is the value of tan(π/4)?

Back

tan(π/4) = 1.

Front

What is the relationship between sine and cosine in the unit circle?

Back

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.

Front

What is the value of sec(7π/6)?

Back

sec(7π/6) = 2/√2.

Front

What is the value of tan(7π/4)?

Back

tan(7π/4) = -1.