Solving Missing Sides of Triangle Using Trig Functions

Front

What is the sine function in relation to a right triangle?

Back

The sine function (sin) is defined as 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 relation to a right triangle?

Back

The cosine function (cos) is defined as 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 relation to a right triangle?

Back

The tangent function (tan) is defined as 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 the missing side of a triangle 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 the missing side of a triangle using cosine?

Back

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

How do you find the missing side of a triangle 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, the square of the hypotenuse is equal to the sum of the squares of the other two sides: a² + b² = c².

Tags

CCSS.8.G.B.8

Front

If sin(30°) = 0.5, what is the ratio of the opposite side to the hypotenuse?

Back

The ratio of the opposite side to the hypotenuse is 1:2.

Tags

CCSS.HSG.SRT.C.6

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, which can be expressed using sine, cosine, and tangent functions.

Tags

CCSS.8.G.A.5

Front

How can you estimate the height of an object using trigonometry?

Back

You can estimate the height by measuring the distance from the object and the angle of elevation to the top of the object, then using the tangent function.

Tags

CCSS.HSG.SRT.C.8