Solving Missing Sides of Triangle Using Trig Functions

Front

What is the sine function in a right triangle?

Back

The sine function (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 cosine function in a right triangle?

Back

The cosine function (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 tangent function in a right triangle?

Back

The tangent function (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

How do you find a missing side using sine?

Back

To find a missing side using sine, use the formula: sin(angle) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.C.8

Front

How do you find a missing side using cosine?

Back

To find a missing side using cosine, use the formula: cos(angle) = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.C.8

Front

How do you find a missing side using tangent?

Back

To find a missing side using tangent, use the formula: tan(angle) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.8

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or 150° (in degrees) or θ = π/6 or 5π/6 (in radians).

Tags

CCSS.HSF.TF.B.7

Front

What is the relationship between the angles and sides in a right triangle?

Back

The angles in a right triangle determine the ratios of the lengths of the sides.

Tags

CCSS.HSG.CO.C.10

Front

How do you round a number to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place; if it's 5 or more, round up.

Tags

CCSS.3.NBT.A.1

CCSS.4.NBT.A.3