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.

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).

Front

In which quadrants is cosθ positive?

Back

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

Front

In which quadrants is sinθ positive?

Back

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

Front

What is the value of sin(2π/3)?

Back

Front

What is the value of cos(315°)?

Back

Front

What is the exact value of sin(240°)?

Back

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.

Front

What is the sine of 0°?

Back

The sine of 0° is 0.

Front

What is the cosine of 90°?

Back

The cosine of 90° is 0.