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.

Front

What is the formula for calculating the area of a triangle?

Back

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

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.

Front

What is the relationship between sine, cosine, and tangent?

Back

tan(θ) = \frac{sin(θ)}{cos(θ)}.

Front

What is the Pythagorean theorem?

Back

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

Front

What is the value of tan(45°)?

Back

tan(45°) = 1.

Front

What is the value of sin(30°)?

Back

sin(30°) = \frac{1}{2}.

Front

What is the value of cos(60°)?

Back

cos(60°) = \frac{1}{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}.

Front

What is the definition of a right triangle?

Back

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