Unit Circle Trig and Conversion Practice

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

Estimate the height of a tree if a kite gets caught at the top and the estimated height is 87 ft.

Back

The height of the tree is approximately 87 ft.

Front

A yacht is anchored 90 feet offshore from a lighthouse. If the angle of elevation to the top of the lighthouse is 26 degrees, what is the height of the lighthouse?

Back

The height of the lighthouse is approximately 43 feet.

Front

What is cos(π/4)?

Back

cos(π/4) = √2/2.

Front

What is the definition of the unit circle?

Back

The 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 on the unit circle at an angle of 0 degrees?

Back

The coordinates are (1, 0).

Front

What are the coordinates of the point on the unit circle at an angle of 90 degrees?

Back

The coordinates are (0, 1).

Front

What is the sine of an angle in the unit circle?

Back

The sine of an angle is the y-coordinate of the corresponding point on the unit circle.

Front

What is the cosine of an angle in the unit circle?

Back

The cosine of an angle is the x-coordinate of the corresponding point on the unit circle.