Trig Ratios: Missing Side Lengths

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) = 0.5, what is the value of θ?

Back

θ = 30° or θ = 150° (in the range of 0° to 360°).

Tags

CCSS.HSF.TF.B.7

Front

What is the Pythagorean theorem?

Back

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

Tags

CCSS.8.G.B.8

Front

How do you find the length of the opposite side using sine?

Back

Opposite side = Hypotenuse × sin(θ).

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the length of the adjacent side using cosine?

Back

Adjacent side = Hypotenuse × cos(θ).

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the length of the opposite side using tangent?

Back

Opposite side = Adjacent side × tan(θ).

Tags

CCSS.HSG.SRT.C.8

Front

What is the sine ratio for a 45° angle?

Back

sin(45°) = √2/2.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine ratio for a 45° angle?

Back

cos(45°) = √2/2.

Tags

CCSS.HSG.SRT.C.7