2.6 Unit Circle & Exact Trig Values

Front

What is the unit circle?

Back

A circle with a radius of 1 centered at the origin (0,0) in the coordinate plane, used to define trigonometric functions.

Front

What is the value of sin(90°)?

Back

1

Front

What is the value of cos(0°)?

Back

1

Front

What is the value of tan(45°)?

Back

1

Front

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

Back

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

Front

What is the value of sin(30°)?

Back

1/2

Front

What is the value of cos(120°)?

Back

-1/2

Front

What is the value of csc(θ)?

Back

1/sin(θ), the reciprocal of sine.

Front

What is the value of sec(θ)?

Back

1/cos(θ), the reciprocal of cosine.

Front

What is the value of cot(θ)?

Back

1/tan(θ), the reciprocal of tangent.