Finding side lengths using trig review

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. The primary trigonometric ratios are sine, cosine, and tangent.

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as the length of the opposite side divided by the length of the hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is defined as the length of the adjacent side divided by the length of the hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio is defined as the length of the opposite side divided by the length of the adjacent side.

Front

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

Back

To find the length of a side using the sine ratio, use the formula: opposite = hypotenuse * sin(angle).

Front

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

Back

To find the length of a side using the cosine ratio, use the formula: adjacent = hypotenuse * cos(angle).

Front

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

Back

To find the length of a side using the tangent ratio, use the formula: opposite = adjacent * tan(angle).

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Front

If the hypotenuse is 10 and the angle is 30 degrees, what is the length of the opposite side?

Back

The length of the opposite side is 5 (using sine: opposite = 10 * sin(30°)).

Front

If the hypotenuse is 10 and the angle is 60 degrees, what is the length of the adjacent side?

Back

The length of the adjacent side is 5 (using cosine: adjacent = 10 * cos(60°)).