12.06.2024 PRECALCULUS -Assessment 2.3

Front

What is the cosine law?

Back

The cosine law relates the lengths of the sides of a triangle to the cosine of one of its angles. It states that for any triangle with sides a, b, and c, and angle C opposite side c: c² = a² + b² - 2ab * cos(C).

Front

How do you find the angle of elevation?

Back

The angle of elevation is the angle formed by the line of sight when looking up from a horizontal line. It can be found using trigonometric ratios, particularly tangent, where tan(angle) = opposite/adjacent.

Front

What is the formula to calculate the length of a ramp given the height and angle?

Back

The length of the ramp (L) can be calculated using the formula: L = height / sin(angle).

Front

Define the term 'angle of elevation'.

Back

The angle of elevation is the angle between the horizontal line and the line of sight to an object above the horizontal.

Front

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

Back

In a right triangle, the lengths of the sides are related to the angles through trigonometric ratios: sine, cosine, and tangent.

Front

How do you round a number to the nearest unit?

Back

To round a number to the nearest unit, look at the digit in the tenths place. If it is 5 or greater, round up; if it is less than 5, round down.

Front

What is the sine function in trigonometry?

Back

The sine function relates the angle of a right triangle to the ratio of the length of the opposite side to the hypotenuse: sin(angle) = opposite/hypotenuse.

Front

What is the cosine function in trigonometry?

Back

The cosine function relates the angle of a right triangle to the ratio of the length of the adjacent side to the hypotenuse: cos(angle) = adjacent/hypotenuse.

Front

What is the tangent function in trigonometry?

Back

The tangent function relates the angle of a right triangle to the ratio of the length of the opposite side to the adjacent side: tan(angle) = opposite/adjacent.

Front

How do you calculate the distance between two points using the cosine law?

Back

To calculate the distance between two points using the cosine law, identify the lengths of the sides and the included angle, then apply the formula: c² = a² + b² - 2ab * cos(C).