Exploring Trigonometric Functions and Triangle Properties

The video introduces trigonometry, focusing on right angle triangles. It explains the significance of triangles in mathematics and their applications in mapping and technology. The video covers the names of the sides of a right angle triangle: hypotenuse, opposite, and adjacent. It introduces the three main trigonometric functions: sine, cosine, and tangent, and explains how they are used to calculate side lengths and angles. The concept of SOHCAHTOA is introduced as a mnemonic to remember the relationships between the sides and angles in trigonometry.

Why is trigonometry considered crucial in the creation of maps and GPS systems?

• It is used to measure the depth of the ocean.

• It helps in calculating distances between two points.

• It assists in the design of buildings.

• It is used to calculate the speed of light.

What are the three primary functions in trigonometry?

• Addition, subtraction, multiplication

• Force, mass, acceleration

• Sine, cosine, tangent

• Algebra, geometry, calculus

Which side of a right-angle triangle is always opposite the right angle?

• Hypotenuse

• Opposite

• Base

• Adjacent

What is the hypotenuse in a right-angle triangle?

• The shortest side

• The side opposite to the right angle

• The side adjacent to the right angle

• The longest side

How does the position of the opposite and adjacent sides change?

• They switch when the angle changes.

• They change with the hypotenuse.

• They remain constant.

• They are always perpendicular.

In trigonometry, what does the term 'adjacent' refer to?

• The side opposite to the angle of interest

• The longest side of the triangle

• The side next to the angle of interest and not the hypotenuse

• The side across from the hypotenuse

What does the 'S' in SOHCAHTOA stand for?

• Sine

• Solution

• Subtraction

• Segment

Which trigonometric function is used to find the ratio of the opposite side to the hypotenuse?

• Cotangent

• Tangent

• Cosine

• Sine

Which function represents the ratio of the adjacent side to the hypotenuse?

• Secant

• Tangent

• Cosine

• Sine

What does the 'T' in SOHCAHTOA represent?

• Tangent

• Triangle

• Terminal

• Tangent line