Unit 5 - Intro to 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 Sine Ratio?

Back

The Sine Ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle. It is represented as sin(θ) = opposite/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Cosine Ratio?

Back

The Cosine Ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is represented as cos(θ) = adjacent/hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the Tangent Ratio?

Back

The Tangent Ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. It is represented as tan(θ) = opposite/adjacent.

Tags

CCSS.HSG.SRT.C.6

Front

What is a Right Triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

Front

How do you find the length of the hypotenuse?

Back

Use the Pythagorean theorem: a² + b² = c², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Tags

CCSS.8.G.B.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 formula for finding an angle using the Sine Ratio?

Back

To find an angle θ, use the formula: θ = sin⁻¹(opposite/hypotenuse).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula for finding an angle using the Cosine Ratio?

Back

To find an angle θ, use the formula: θ = cos⁻¹(adjacent/hypotenuse).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the formula for finding an angle using the Tangent Ratio?

Back

To find an angle θ, use the formula: θ = tan⁻¹(opposite/adjacent).

Tags

CCSS.HSG.SRT.C.8