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).

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.

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.

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.

Front

What is the Pythagorean theorem?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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