Right Triangle Trigonometry

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

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): a² + b² = c².

Tags

CCSS.8.G.B.8

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 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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

Front

How do you find the length of the opposite side using sine?

Back

To find the length of the opposite side, use the formula: opposite = hypotenuse × sin(θ).

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

To find the length of the adjacent side, use the formula: adjacent = hypotenuse × cos(θ).

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the angle using the inverse sine function?

Back

To find the angle, use the formula: θ = sin⁻¹(opposite/hypotenuse).

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the angle using the inverse cosine function?

Back

To find the angle, use the formula: θ = cos⁻¹(adjacent/hypotenuse).

Tags

CCSS.HSG.SRT.C.8