Trigonometric Ratios and Functions

This video tutorial covers the use of trigonometric ratios to find side lengths in right triangles. It begins with an introduction to the concept and the importance of identifying reference angles for labeling sides. The tutorial explains how to use calculators to convert angles into trigonometric ratios and solve for unknown side lengths. It provides detailed examples of problems where the unknown is in the numerator and the denominator, demonstrating the process of cross-multiplication and division to find solutions.

What is the primary focus of this lesson?

• Using algebra to solve equations

• Using trigonometric ratios to find side lengths

• Using trigonometric ratios to find angles

• Using geometry to find area

What are the two types of questions discussed in this lesson?

• Finding the hypotenuse and finding the opposite side

• Finding the adjacent side and finding the hypotenuse

• Finding a value in the numerator and finding a value in the denominator

• Finding angles and finding side lengths

Why is identifying the reference angle important?

• It determines the length of the hypotenuse

• It helps in choosing the correct trigonometric ratio

• It helps in finding the perimeter of the triangle

• It is used to calculate the area of the triangle

In the example problem, which trigonometric function is used to find the adjacent side?

• Secant

• Sine

• Tangent

• Cosine

What is the approximate value of cosine 39 degrees used in the example?

• 0.7071

• 0.5000

• 0.7771

• 0.8660

In the second example, which trigonometric function is used to find the opposite side?

• Cosecant

• Tangent

• Cosine

• Sine

What is the approximate value of sine 73 degrees used in the example?

• 0.9563

• 0.8660

• 0.5000

• 0.7071

In the third example, which trigonometric function is used again to find the opposite side?

• Cosine

• Sine

• Cosecant

• Tangent

What is the approximate value of sine 53 degrees used in the example?

• 0.7986

• 0.7071

• 0.8660

• 0.5000

What is the additional step required when the unknown is in the denominator?

• Multiplication

• Subtraction

• Addition

• Division