Trigonometry review

Front

What is the definition of Trigonometry?

Back

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

Tags

CCSS.HSG.SRT.C.7

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): c² = a² + b².

Tags

CCSS.8.G.B.8

Front

What is the sine function?

Back

The sine function (sin) is a trigonometric function that 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?

Back

The cosine function (cos) is a trigonometric function that 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?

Back

The tangent function (tan) is a trigonometric function that 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.HSF.TF.A.2

Front

How do you find the missing side of a right triangle using sine?

Back

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

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the missing side of a right triangle using cosine?

Back

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

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the missing angle using sine?

Back

To find the missing angle using sine, use the inverse sine function: angle = sin⁻¹(opposite/hypotenuse).

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the missing angle using cosine?

Back

To find the missing angle using cosine, use the inverse cosine function: angle = cos⁻¹(adjacent/hypotenuse).

Tags

CCSS.HSG.SRT.C.8

Front

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

Back

In a right triangle, the sum of the two non-right angles is always 90 degrees.

Tags

CCSS.8.G.A.5