The Main Trigonometrical Ratios of the Acute Angle: Using Trigonometric Ratios

The video explores the concept of right triangles, highlighting their presence in everyday activities. It defines right triangles and discusses their unique properties, including the Pythagorean theorem. The video introduces trigonometric ratios such as sine, cosine, and tangent, explaining their relevance to right triangles. It concludes by demonstrating how these mathematical principles can be applied to solve problems involving right triangles.

What is a defining characteristic of a right triangle?

• All angles are equal

• One angle measures 90°

• It has no equal sides

• All sides are of different lengths

Which theorem explains the relationship between the sides of a right triangle?

• Fermat's Last Theorem

• Fundamental Theorem of Calculus

• Binomial Theorem

• Pythagorean Theorem

Which of the following is a trigonometric ratio?

• Logarithm

• Sine

• Exponent

• Derivative

How can trigonometric ratios be used in right triangles?

• To determine the perimeter of a square

• To find the area of a circle

• To relate angles to side lengths

• To calculate the volume of a cube

What can you determine if you know one or two pieces of information about a right triangle?

• The weight of the triangle

• The color of the triangle

• Almost anything else about its shape and size

• The material of the triangle