Warm Up 12/11

Front

What is the ratio for cosine?

Back

Cosine is defined as the ratio of the length of the adjacent side (A) to the length of the hypotenuse (H) in a right triangle. Therefore, the ratio for cosine is A/H.

Front

Find an angle coterminal with 46°.

Back

To find a coterminal angle, you can add or subtract multiples of 360°. For 46°, subtracting 360° gives -314°, which is coterminal.

Front

In what quadrant is -285°?

Back

An angle of -285° is coterminal with 75° (by adding 360°). Since 75° is in the first quadrant, -285° is also in the first quadrant.

Front

Find a coterminal angle to -180 degrees.

Back

A coterminal angle can be found by adding 360°. For -180°, adding 360° gives 180°, which is coterminal.

Front

Which side is the hypotenuse?

Back

In a right triangle, the hypotenuse is the longest side, opposite the right angle. It is usually denoted as 'c'.

Front

What is the definition of a coterminal angle?

Back

Coterminal angles are angles that share the same terminal side when drawn in standard position. They can be found by adding or subtracting multiples of 360°.

Front

How do you determine the quadrant of an angle?

Back

To determine the quadrant of an angle, consider its measure: 0° to 90° is Quadrant I, 90° to 180° is Quadrant II, 180° to 270° is Quadrant III, and 270° to 360° is Quadrant IV.

Front

What is the sine ratio?

Back

The sine ratio is defined as the ratio of the length of the opposite side (O) to the length of the hypotenuse (H) in a right triangle. Therefore, the ratio for sine is O/H.

Front

What is the tangent ratio?

Back

The tangent ratio is defined as the ratio of the length of the opposite side (O) to the length of the adjacent side (A) in a right triangle. Therefore, the ratio for tangent is O/A.

Front

How do you find the reference angle?

Back

The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. It can be found by subtracting the angle from 180° or 360°, depending on the quadrant.