Hon Precal Review #4

Front

What is the period of the function y = -3sin(x)?

Back

The period is 2π.

Front

Let (–2, 6) be a point on the terminal side of an angle θ in standard position. Find the exact values of the six trigonometric functions of θ.

Back

The exact values are given by the trigonometric functions based on the coordinates (-2, 6).

Front

What is the radius of a unit circle?

Back

The radius of a unit circle is 1.

Front

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. What is the height of the lighthouse?

Back

The height of the lighthouse is approximately 45 feet.

Front

Find a coterminal angle to 45°.

Back

A coterminal angle is 405°.

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.

Front

What is the sine function in relation to a right triangle?

Back

The sine function is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function in relation to a right triangle?

Back

The cosine function is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function in relation to a right triangle?

Back

The tangent function is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.