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.

Tags

CCSS.HSG.SRT.C.6

Front

What are the three primary trigonometric ratios?

Back

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

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

sin(30) = 1/2.

Tags

CCSS.HSG.SRT.C.7

Front

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

Back

tan(45) = 1.

Tags

CCSS.HSG.SRT.C.7

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Pythagorean theorem?

Back

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

Tags

CCSS.8.G.B.8