Writing Trig Ratios

Front

What is the definition of tangent (tan) in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you calculate the tangent ratio for an angle in a right triangle?

Back

To calculate the tangent ratio, divide the length of the opposite side by the length of the adjacent side.

Front

What is the formula for finding the length of the opposite side using tangent?

Back

The length of the opposite side can be found using the formula: opposite = tan(angle) * adjacent.

Front

What is the formula for finding the length of the adjacent side using tangent?

Back

The length of the adjacent side can be found using the formula: adjacent = opposite / tan(angle).

Front

If tan(C) = 4/3, what is the relationship between the opposite and adjacent sides?

Back

The length of the opposite side is 4 units for every 3 units of the adjacent side.

Front

What is the value of tan(45°)?

Back

The value of tan(45°) is 1.

Front

What is the value of tan(30°)?

Back

The value of tan(30°) is √3/3.

Front

What is the value of tan(60°)?

Back

The value of tan(60°) is √3.

Front

In a right triangle, if the opposite side is 8 and the adjacent side is 15, what is tan(θ)?

Back

tan(θ) = 8/15.

Front

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

Back

The angles in a right triangle are related to the ratios of the lengths of the sides.