Trig Ratios

Front

What is the definition of a trigonometric ratio?

Back

A trigonometric ratio is a ratio of the lengths of two sides of a right triangle.

Front

What are the three primary trigonometric ratios?

Back

Sine (sin), Cosine (cos), and Tangent (tan).

Front

What does the sine function represent in a right triangle?

Back

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

Front

What does the cosine function represent in a right triangle?

Back

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

Front

What does the tangent function represent in a right triangle?

Back

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

Front

If angle A is 30 degrees, what is sin(30)?

Back

sin(30) = 1/2.

Front

If angle A is 45 degrees, what is tan(45)?

Back

tan(45) = 1.

Front

In a right triangle, if the opposite side is 5 and the hypotenuse is 13, what is sin(A)?

Back

sin(A) = 5/13.

Front

In a right triangle, if the adjacent side is 12 and the hypotenuse is 13, what is cos(A)?

Back

cos(A) = 12/13.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.