Trigonometry Review

Front

What is the definition of Sine 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 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 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

What is the Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

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

Back

Use the formula: sin(θ) = opposite/hypotenuse. Rearrange to find the opposite side: opposite = hypotenuse * sin(θ).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

Use the formula: cos(θ) = adjacent/hypotenuse. Rearrange to find the adjacent side: adjacent = hypotenuse * cos(θ).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

Use the formula: tan(θ) = opposite/adjacent. Rearrange to find the opposite side: opposite = adjacent * tan(θ).

Tags

CCSS.HSG.SRT.C.8

Front

If the hypotenuse is 10 cm and the angle is 30°, what is the length of the opposite side?

Back

Using sine: opposite = 10 * sin(30°) = 10 * 0.5 = 5 cm.

Tags

CCSS.HSG.SRT.C.8

Front

If the hypotenuse is 10 cm and the angle is 60°, what is the length of the adjacent side?

Back

Using cosine: adjacent = 10 * cos(60°) = 10 * 0.5 = 5 cm.

Tags

CCSS.HSG.SRT.C.8

Front

If the opposite side is 3 cm and the adjacent side is 4 cm, what is the angle using Tangent?

Back

tan(θ) = opposite/adjacent = 3/4. θ = arctan(3/4) ≈ 36.87°.

Tags

CCSS.HSG.SRT.C.8