Review - Right Triangle Trig.

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 (the side opposite the angle of interest), and the adjacent side (the 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 is equal to the sum of the squares of the lengths of the other two sides. (a² + b² = c²)

Front

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

Back

The sine function 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 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 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 the hypotenuse using the sine function?

Back

To find the hypotenuse using the sine function, rearrange the formula: hypotenuse = opposite/sin(θ).

Front

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

Back

To find the adjacent side using the cosine function, rearrange the formula: adjacent = hypotenuse * cos(θ).

Front

How do you find the angle using the tangent function?

Back

To find the angle using the tangent function, use the inverse tangent: θ = tan⁻¹(opposite/adjacent).

Front

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

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.