Identifying Trig Ratios

Front

What is the definition of sine (sin) in a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of cosine (cos) in a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of tangent (tan) in a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

Which trig function would you use to find the length of the opposite side if you know the hypotenuse and the angle?

Back

Sine (sin) is used to find the length of the opposite side.

Tags

CCSS.HSG.SRT.C.6

Front

Which trig function would you use to find the length of the adjacent side if you know the hypotenuse and the angle?

Back

Cosine (cos) is used to find the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

Which trig function would you use to find the angle if you know the opposite side and the adjacent side?

Back

Tangent (tan) is used to find the angle.

Tags

CCSS.HSG.SRT.C.6

Front

In a right triangle, if the hypotenuse is 25 and the angle is 30 degrees, what is the length of the opposite side?

Back

The length of the opposite side is 25 * sin(30°) = 12.5.

Tags

CCSS.HSG.SRT.C.8

Front

In a right triangle, if the adjacent side is 24 and the hypotenuse is 25, what is the cosine of the angle?

Back

Cosine (cos) = adjacent/hypotenuse = 24/25 = 0.96.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the length of the hypotenuse.

Tags

CCSS.8.G.B.8

Front

If the opposite side is 7 and the adjacent side is 24, what is the tangent of the angle?

Back

Tangent (tan) = opposite/adjacent = 7/24.

Tags

CCSS.HSG.SRT.C.6