Trigonometric Ratios

Front

What is a trigonometric ratio?

Back

A trigonometric ratio is a ratio of the lengths of two sides of a right triangle. The primary trigonometric ratios are sine, cosine, and tangent.

Tags

CCSS.HSG.SRT.C.6

Front

Define sine (sin) in terms of a right triangle.

Back

Sine (sin) of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

Define cosine (cos) in terms of a right triangle.

Back

Cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

Define tangent (tan) in terms of a right triangle.

Back

Tangent (tan) of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding sine?

Back

sin(θ) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding cosine?

Back

cos(θ) = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding tangent?

Back

tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.8

Front

If sin C = 20/29, what is the length of the opposite side if the hypotenuse is 29?

Back

The length of the opposite side is 20.

Tags

CCSS.HSG.SRT.C.8

Front

If tan C = 36/27, what is the length of the adjacent side if the opposite side is 36?

Back

The length of the adjacent side is 27.

Tags

CCSS.HSG.SRT.C.8

Front

From which angle is the opposite side defined?

Back

The opposite side is defined from the perspective of the angle in question.