Geometry Review "Right Triangles using Trig Functions"

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What are the three sides of a right triangle called?

Back

The three sides are called the hypotenuse (the longest side), the opposite side (opposite the angle of interest), and the adjacent side (next to the angle of interest).

Front

What is the Pythagorean theorem?

Back

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

Front

What is the sine function in relation to a right triangle?

Back

The sine function (sin) is defined as the ratio of the length of the opposite side to the length of the hypotenuse: sin(θ) = opposite/hypotenuse.

Front

What is the cosine function in relation to a right triangle?

Back

The cosine function (cos) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse: cos(θ) = adjacent/hypotenuse.

Front

What is the tangent function in relation to a right triangle?

Back

The tangent function (tan) is defined as the ratio of the length of the opposite side to the length of the adjacent side: tan(θ) = opposite/adjacent.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

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 functions.