Using Trig Ratios to find sides and angles and Special Triangles

Front

What are the primary trigonometric ratios?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

Define Sine (sin) in a right triangle.

Back

Sine is the ratio of the length of the opposite side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

Define Cosine (cos) in a right triangle.

Back

Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

Define Tangent (tan) in a right triangle.

Back

Tangent is the ratio of the length of the opposite side to the length of the adjacent side.

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

Front

What is the special triangle ratio for a 30-60-90 triangle?

Back

The sides are in the ratio 1 : √3 : 2.

Tags

CCSS.HSG.CO.C.10

Front

What is the special triangle ratio for a 45-45-90 triangle?

Back

The sides are in the ratio 1 : 1 : √2.

Tags

CCSS.8.G.B.8

Front

How do you find the length of a side using sine?

Back

Use the formula: opposite = hypotenuse * sin(angle).

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the length of a side using cosine?

Back

Use the formula: adjacent = hypotenuse * cos(angle).

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the length of a side using tangent?

Back

Use the formula: opposite = adjacent * tan(angle).

Tags

CCSS.HSG.SRT.C.8