Understanding Trigonometric Ratios and Functions

The video tutorial introduces trigonometric ratios: sine, cosine, and tangent, and explains the mnemonic SOH CAH TOA for remembering these ratios. It discusses when to use these ratios, particularly in non-special right triangles, and how to identify the sides of a triangle relative to a reference angle. The tutorial provides a step-by-step guide to solving trigonometric problems, using a 52-degree angle as an example, and demonstrates how to set up and solve equations using the tangent function.

What does the mnemonic SOH CAH TOA help you remember?

• The properties of parallel lines

• The order of operations in math

• The trigonometric ratios

• The types of angles in geometry

In which scenario would you use trigonometric ratios?

• When dealing with special right triangles

• When calculating the area of a circle

• When working with non-special right triangles

• When finding the perimeter of a square

What is the side opposite to the reference angle called?

• Adjacent

• Base

• Hypotenuse

• Opposite

Which side is labeled as the hypotenuse in a right triangle?

• The longest side

• The shortest side

• The side adjacent to the reference angle

• The side opposite the reference angle

What is the first step in solving a trigonometric problem?

• Draw the triangle

• Find the reference angle

• Label the sides

• Calculate the hypotenuse

What is the purpose of labeling the sides of a triangle in trigonometry?

• To calculate the perimeter

• To determine the type of triangle

• To identify the correct trigonometric function to use

• To find the area of the triangle

Which trigonometric function uses the opposite and adjacent sides?

• Secant

• Tangent

• Cosine

• Sine

If the reference angle is 52 degrees, which side is not used in the problem?

• Hypotenuse

• Opposite

• Adjacent

• Base

What is the tangent of a 52-degree angle in terms of triangle sides?

• Opposite over Hypotenuse

• Adjacent over Hypotenuse

• Opposite over Adjacent

• Adjacent over Opposite