Trig Functions

Front

What is the definition of a trigonometric function?

Back

A trigonometric function relates the angles of a triangle to the lengths of its sides.

Tags

CCSS.HSF.TF.A.2

Front

What is the sine function?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine function?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent function?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding the sine of an angle?

Back

sin(θ) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding the cosine of an angle?

Back

cos(θ) = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding the tangent of an angle?

Back

tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

To find a side, rearrange the sine formula: opposite = sin(θ) * hypotenuse.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

To find a side, rearrange the tangent formula: opposite = tan(θ) * adjacent.

Tags

CCSS.HSG.SRT.C.8