Sin, Cos, Tan

Front

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

Back

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

Tags

CCSS.HSG.SRT.C.6

Front

If sin θ = opposite/hypotenuse, what is the formula to find the opposite side?

Back

Opposite = hypotenuse × sin θ.

Tags

CCSS.HSG.SRT.C.8

Front

If cos θ = adjacent/hypotenuse, what is the formula to find the adjacent side?

Back

Adjacent = hypotenuse × cos θ.

Tags

CCSS.HSG.SRT.C.8

Front

If tan θ = opposite/adjacent, what is the formula to find the opposite side?

Back

Opposite = adjacent × tan θ.

Tags

CCSS.HSG.SRT.C.8

Front

Which trigonometric function would you use if you have the opposite side and hypotenuse?

Back

Sine (sin).

Tags

CCSS.HSG.SRT.C.6

Front

Which trigonometric function would you use if you have the adjacent side and hypotenuse?

Back

Cosine (cos).

Tags

CCSS.HSG.SRT.C.6

Front

Which trigonometric function would you use if you have the opposite side and adjacent side?

Back

Tangent (tan).

Tags

CCSS.HSG.SRT.C.6

Front

What is the relationship between sine and cosine for any angle θ?

Back

sin θ = cos(90° - θ).

Tags

CCSS.HSG.SRT.C.7