Unit Circle-sine and cosine

Front

What is the Unit Circle?

Back

The Unit Circle is a circle with a radius of 1 centered at the origin (0,0) in the coordinate plane. It is used to define trigonometric functions for all angles.

Tags

CCSS.HSF.TF.A.2

Front

What are the coordinates of points on the Unit Circle for 0°, 90°, 180°, and 270°?

Back

0°: (1, 0), 90°: (0, 1), 180°: (-1, 0), 270°: (0, -1).

Tags

CCSS.HSF.TF.A.2

Front

In which quadrants is cosθ positive?

Back

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

Tags

CCSS.HSF.TF.A.2

Front

In which quadrants is sinθ positive?

Back

Sinθ is positive in the 1st and 2nd quadrants.

Tags

CCSS.HSF.TF.A.2

Front

What is the value of sin(2π/3)?

Back

Tags

CCSS.HSF.TF.A.2

Front

What is the value of cos(315°)?

Back

Tags

CCSS.HSF.TF.A.2

Front

What is the exact value of sin(240°)?

Back

Tags

CCSS.HSF.TF.A.2

Front

What is the relationship between sine and cosine on the Unit Circle?

Back

Sine corresponds to the y-coordinate and cosine corresponds to the x-coordinate of a point on the Unit Circle.

Tags

CCSS.HSF.TF.A.2

Front

What is the sine of 0°?

Back

The sine of 0° is 0.

Tags

CCSS.HSF.TF.A.2

Front

What is the cosine of 90°?

Back

The cosine of 90° is 0.

Tags

CCSS.HSF.TF.A.2