Exploring Trigonometric Functions and Triangle Properties

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