Trig Ratios

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 are the three primary trigonometric ratios?

Back

Sine (sin), Cosine (cos), and Tangent (tan).

Tags

CCSS.HSG.SRT.C.6

Front

Define Sine (sin) in terms of a right triangle.

Back

Sine is the ratio of the length of the opposite side to the length of the hypotenuse (sin = Opp/Hyp).

Tags

CCSS.HSG.SRT.C.6

Front

Define Cosine (cos) in terms of a right triangle.

Back

Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse (cos = Adj/Hyp).

Tags

CCSS.HSG.SRT.C.6

Front

Define Tangent (tan) in terms of a right triangle.

Back

Tangent is the ratio of the length of the opposite side to the length of the adjacent side (tan = Opp/Adj).

Tags

CCSS.HSG.SRT.C.6

Front

What is the Pythagorean theorem?

Back

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

How do you find the measure of an angle using trigonometric ratios?

Back

You can use the inverse trigonometric functions: sin⁻¹, cos⁻¹, and tan⁻¹ to find the angle when the ratios are known.

Tags

CCSS.HSG.SRT.C.8

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the adjacent side in relation to an angle in a right triangle?

Back

The adjacent side is the side that forms the angle with the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the opposite side in relation to an angle in a right triangle?

Back

The opposite side is the side that is opposite to the angle in question.