Trigonometry

Front

What is Trigonometry?

Back

Trigonometry is a branch of mathematics that studies the relationships between the angles and sides of triangles, particularly right triangles.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Tags

CCSS.8.G.B.8

Front

What is the sine function?

Back

The sine function (sin) is a trigonometric function that represents the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine function?

Back

The cosine function (cos) is a trigonometric function that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent function?

Back

The tangent function (tan) is a trigonometric function that represents the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding the sine of an angle?

Back

sin(θ) = Opposite / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding the cosine of an angle?

Back

cos(θ) = Adjacent / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for finding the tangent of an angle?

Back

tan(θ) = Opposite / Adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

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

Back

To find the length of a side using the sine function, rearrange the formula: Opposite = Hypotenuse * sin(θ).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

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

Back

To find the length of a side using the cosine function, rearrange the formula: Adjacent = Hypotenuse * cos(θ).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11