Understanding Trigonometric Ratios and Functions

This video tutorial is a grade 10 trigonometry review focusing on using the tangent ratio to solve for unknown sides in a right triangle. It begins with labeling the sides of the triangle, identifying the hypotenuse, opposite, and adjacent sides. The tutorial then demonstrates how to apply the tangent ratio to find the length of side a, using a given angle and known side length. The process involves substituting values into the tangent formula and solving for the unknown side using a calculator.

What is the primary purpose of the Grade 10 Trigonometry review?

• To explore the history of trigonometry

• To understand the use of SOHCAHTOA in solving right-angle triangle problems

• To memorize trigonometric tables

• To learn about different types of triangles

In the example problem, what is the given angle in the right-angle triangle?

• 45°

• 30°

• 60°

• 36°

What is the first step in solving the example problem?

• Label the sides of the triangle

• Calculate the area of the triangle

• Draw a diagram of the triangle

• Find the perimeter of the triangle

Which side of the triangle is labeled first?

• Hypotenuse

• Base

• Adjacent

• Opposite

How do you determine the opposite side in the triangle?

• It is the side across from the given angle

• It is the side with the right angle

• It is the side next to the given angle

• It is the longest side

Which trigonometric ratio is used in the example problem?

• Tangent

• Cotangent

• Cosine

• Sine

What does the tangent ratio compare in a right-angle triangle?

• Opposite side to hypotenuse

• Adjacent side to hypotenuse

• Opposite side to adjacent side

• Adjacent side to opposite side

What is the formula used to find the unknown side in the example problem?

• sin(angle) = opposite/hypotenuse

• cot(angle) = adjacent/opposite

• cos(angle) = adjacent/hypotenuse

• tan(angle) = opposite/adjacent

What is the value of the adjacent side in the example problem?

• 45 m

• 36 m

• 26 m

• 18.9 m

What operation is performed to isolate the unknown side in the equation?

• Division

• Multiplication

• Subtraction

• Addition