Trigonometry Introduction

Front

What is the definition of Tangent (tan) in a right triangle?

Back

Tangent (tan) 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 formula for calculating the area of a triangle?

Back

Area = \frac{1}{2} \times base \times height.

Tags

CCSS.6.G.A.1

Front

What is the definition of Cosine (cos) in a right triangle?

Back

Cosine (cos) is 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 relationship between sine, cosine, and tangent?

Back

tan(θ) = \frac{sin(θ)}{cos(θ)}.

Tags

CCSS.HSG.SRT.C.7

Front

What is the Pythagorean theorem?

Back

In a right triangle, a^2 + b^2 = c^2, where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

What is the value of tan(45°)?

Back

tan(45°) = 1.

Tags

CCSS.HSF.TF.A.2

Front

What is the value of sin(30°)?

Back

sin(30°) = \frac{1}{2}.

Tags

CCSS.HSF.TF.A.2

Front

What is the value of cos(60°)?

Back

cos(60°) = \frac{1}{2}.

Tags

CCSS.HSF.TF.A.2

Front

How do you find the length of a side in a right triangle using trigonometric ratios?

Back

Use the ratios: sin(θ) = \frac{opposite}{hypotenuse}, cos(θ) = \frac{adjacent}{hypotenuse}, tan(θ) = \frac{opposite}{adjacent}.

Tags

CCSS.HSG.SRT.C.6

Front

What is the definition of a right triangle?

Back

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

Tags

CCSS.4.G.A.2