Trigonometry Review

Front

What is the definition of Trigonometry?

Back

Trigonometry is a branch of mathematics that studies the relationships between the angles and sides of triangles, particularly right triangles.

Front

What is the sine function?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the cosine function?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the tangent function?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

How do you find the width of a river using trigonometry?

Back

To find the width of a river, you can use the sine function with the angle of elevation and the distance from the point of observation.

Front

What is the formula for finding the height of an object using angles?

Back

Height = Distance * tan(Angle of Elevation).

Front

What is the angle of elevation?

Back

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

Front

What is the angle of depression?

Back

The angle of depression is the angle formed by the horizontal line and the line of sight to an object below the horizontal.

Front

If m ∠ KGH = 28° and GH = 632 feet, how do you find KH?

Back

Use the formula KH = GH * sin(m ∠ KGH).

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180°.