8.4 Trigonometry

Front

What is the definition of a trigonometric function?

Back

A trigonometric function relates the angles of a triangle to the lengths of its sides. The primary trigonometric functions are sine, cosine, and tangent.

Front

What is the sine of an angle in a right triangle?

Back

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

Front

What is the cosine of an angle in a right triangle?

Back

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

Front

What is the tangent of an angle in a right triangle?

Back

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

Front

How do you find the measure of an angle using the sine function?

Back

To find the measure of an angle using the sine function, use the inverse sine function (arcsin) on the ratio of the opposite side to the hypotenuse.

Front

How do you find the measure of an angle using the cosine function?

Back

To find the measure of an angle using the cosine function, use the inverse cosine function (arccos) on the ratio of the adjacent side to the hypotenuse.

Front

How do you find the measure of an angle using the tangent function?

Back

To find the measure of an angle using the tangent function, use the inverse tangent function (arctan) on the ratio of the opposite side to the adjacent side.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

What is the relationship between the angles and sides in a right triangle?

Back

In a right triangle, the angles are related to the sides through trigonometric ratios, which can be used to find unknown angles or side lengths.

Front

What is the range of the sine function?

Back

The range of the sine function is from -1 to 1.