Right Triangle Trig

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.7

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

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.

Tags

CCSS.HSG.SRT.C.6

Front

How do you find the length of a side in a right triangle using trigonometric ratios?

Back

You can use the sine, cosine, or tangent functions depending on the known angles and sides.

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

The angles in a right triangle are related to the lengths of the sides through trigonometric ratios.

Front

What is the formula to find the hypotenuse using the sine function?

Back

Hypotenuse = opposite side / sin(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find the adjacent side using the cosine function?

Back

Adjacent side = hypotenuse * cos(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find the opposite side using the tangent function?

Back

Opposite side = adjacent side * tan(angle).

Tags

CCSS.HSG.SRT.C.8