Trigonometric Functions and Their Applications

The video tutorial explains how to find missing side lengths in right triangles using trigonometric functions. It introduces the SOHCAHTOA mnemonic for sine, cosine, and tangent, and demonstrates solving for the hypotenuse, opposite, and adjacent sides using these functions. The tutorial emphasizes the importance of setting calculators to degree mode and verifies results by using different angles.

What does the mnemonic SOHCAHTOA help you remember?

• The quadratic formula

• The Pythagorean theorem

• The order of operations

• The trigonometric ratios

Which trigonometric function is used when you have the adjacent side and need to find the hypotenuse?

• Secant

• Tangent

• Cosine

• Sine

What is the cosine of 37 degrees used for in the first example?

• Finding the angle

• Finding the adjacent side

• Finding the hypotenuse

• Finding the opposite side

What is the result of dividing 11 by the cosine of 37 degrees?

• 13.77

• 11

• 8.12

• 5.5

Why is it important to set your calculator to degree mode when solving trigonometric problems?

• To avoid syntax errors

• To make the calculator faster

• To get the correct answer when dealing with degrees

• To ensure the calculator uses radians

What should you do if your calculator is set to radians while solving these problems?

• Continue as normal

• Switch to degree mode

• Use a different calculator

• Convert the problem to radians

When using tangent, which sides of the triangle are involved?

• Adjacent and hypotenuse

• Opposite and hypotenuse

• Opposite and adjacent

• Adjacent and opposite

What is the tangent of 32 degrees used for in the second example?

• Finding the hypotenuse

• Finding the opposite side

• Finding the angle

• Finding the adjacent side

What is the result of tangent of 32 degrees times 13?

• 11

• 5.5

• 13.77

• 8.12

In the example with a 32-degree angle, what is the length of the side found using tangent?

• 5.98

• 13.77

• 11.00

• 8.12