HW 12 - Ch 5.2 Homework (AL)

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 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 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 in a right triangle using trigonometric ratios?

Back

You can use the sine, cosine, or tangent ratios depending on which sides and angles are known.

Front

If cos X = 28/41, what is the measure of angle X?

Back

To find angle X, use the inverse cosine function: X = cos⁻¹(28/41).

Front

What is the Pythagorean theorem?

Back

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

How do you calculate the length of side x if you know the lengths of the other two sides?

Back

Use the Pythagorean theorem: x = √(c² - b²) or x = √(c² - a²) depending on which sides are known.

Front

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

Back

The angles in a right triangle determine the ratios of the lengths of the sides, which can be expressed using sine, cosine, and tangent.

Front

If the length of side x is 50.7, what does this represent in a triangle?

Back

This represents the length of one side of the triangle, which can be calculated using trigonometric ratios.

Front

What is the significance of the opposite side in trigonometric functions?

Back

The opposite side is crucial for calculating sine and tangent ratios, as it is the side opposite the angle in question.