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): c² = a² + b².

Tags

CCSS.8.G.B.8

Front

Define sine (sin) in a right triangle.

Back

Sine (sin) 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

Define cosine (cos) in a right triangle.

Back

Cosine (cos) 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

Define tangent (tan) in a right triangle.

Back

Tangent (tan) 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

What is the sine ratio for a 30-degree angle?

Back

sin(30°) = 1/2.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine ratio for a 60-degree angle?

Back

cos(60°) = 1/2.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent ratio for a 45-degree angle?

Back

tan(45°) = 1.

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 sine, use the formula: sin(angle) = opposite/hypotenuse, and rearrange to find the opposite side: opposite = hypotenuse * sin(angle).

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 cosine, use the formula: cos(angle) = adjacent/hypotenuse, and rearrange to find the adjacent side: adjacent = hypotenuse * cos(angle).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11