Trig Functions

Front

What is the definition of a trigonometric function?

Back

A trigonometric function relates the angles of a triangle to the lengths of its sides. The primary trigonometric functions are sine, cosine, and tangent.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

In a right triangle, the sine of an angle 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 relation to a right triangle?

Back

In a right triangle, the cosine of an angle 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 relation to a right triangle?

Back

In a right triangle, the tangent of an angle 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 calculate the length of a side using the sine function?

Back

To find the length of a side using the sine function, use the formula: opposite = hypotenuse * sin(angle).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

How do you calculate the length of a side using the cosine function?

Back

To find the length of a side using the cosine function, use the formula: adjacent = hypotenuse * cos(angle).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

How do you calculate the length of a side using the tangent function?

Back

To find the length of a side using the tangent function, use the formula: opposite = adjacent * tan(angle).

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 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

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 are defined by the trigonometric functions.

Tags

CCSS.HSG.SRT.C.7

Front

What is the purpose of using trigonometric functions in real-world applications?

Back

Trigonometric functions are used to model periodic phenomena, solve problems involving angles and distances, and analyze wave patterns.