Evaluating Trigonometric Functions Using the Unit Circle

Front

In which quadrants is cosθ positive?

Back

cosθ is positive in the 1st and 4th quadrants.

Front

What is the radius of a unit circle?

Back

The radius of a unit circle is 1.

Front

What is the value of sin 7π/6?

Back

sin 7π/6 = -1/2.

Front

What is the value of csc(7π/6)?

Back

csc(7π/6) = -2.

Front

What is the exact value of sin 150°?

Back

sin 150° = 1/2.

Front

What is the definition of a unit circle?

Back

A unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane.

Front

What are the coordinates of the point at 0 radians on the unit circle?

Back

The coordinates are (1, 0).

Front

What is the value of cos 90°?

Back

cos 90° = 0.

Front

What is the value of sin 270°?

Back

sin 270° = -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.