Unit Circle Practice

Front

What is the secant 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 terms of the unit circle, sec(θ) = 1/cos(θ).

Front

What is the cosine of 120 degrees?

Back

cos(120°) = -1/2.

Front

What is the sine of 3π/2?

Back

sin(3π/2) = -1.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.

Front

What is the length in radians of the arc of a circle from 0 degrees to 120 degrees?

Back

The length of the arc is 2π/3 radians.

Front

What is the cosine of 30 degrees?

Back

cos(30°) = √3/2.

Front

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

Back

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

Front

What is the value of sin(π/6)?

Back

sin(π/6) = 1/2.

Front

What is the value of cos(π/3)?

Back

cos(π/3) = 1/2.

Front

What is the value of tan(45°)?

Back

tan(45°) = 1.