Trig Applications Remediation

Front

What is the sine function used for in trigonometry?

Back

The sine function relates the angle of a right triangle to 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 used for in trigonometry?

Back

The cosine function relates the angle of a right triangle to 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 used for in trigonometry?

Back

The tangent function relates the angle of a right triangle to 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

If the opposite side is 10 meters and the hypotenuse is 20 meters, what is the sine of the angle?

Back

Sine = opposite/hypotenuse = 10/20 = 0.5.

Tags

CCSS.HSG.SRT.C.6

Front

How do you find the height of an object using trigonometry?

Back

Use the sine function: height = hypotenuse × sin(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the relationship between degrees and radians?

Back

180 degrees is equal to π radians.

Tags

CCSS.HSF.TF.A.1

Front

How do you calculate the distance from the base of a ladder to a wall if the ladder length is known?

Back

Use cosine: distance = hypotenuse × cos(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find the angle using the tangent function?

Back

Angle = arctan(opposite/adjacent).

Tags

CCSS.HSG.SRT.C.8

Front

What is the cosine of a 60° angle?

Back

Cosine(60°) = 0.5.

Tags

CCSS.HSG.SRT.C.7