Trigonometry and Finding Sides

Mr. Dallas explains how to find sides of a right triangle using trigonometry, focusing on the SOHCAHTOA method. He provides detailed examples, demonstrating how to solve for unknown sides using sine, cosine, and tangent functions. The video includes tips and shortcuts for efficient problem-solving, emphasizing the importance of understanding the relationship between angles and sides in trigonometry.

What are the two essential pieces of information needed to find a missing side using trigonometry?

• Two side lengths

• An angle other than 90 degrees and a side length

• The hypotenuse and an angle

• The area of the triangle

What does the acronym SOHCAHTOA help you remember?

• The Pythagorean theorem

• The trigonometric functions and their ratios

• The types of triangles

• The order of operations

In the context of trigonometry, what does 'sine' represent?

• Opposite over adjacent

• Adjacent over opposite

• Adjacent over hypotenuse

• Opposite over hypotenuse

When solving for a missing side using sine, why is it useful to write the equation as a proportion?

• It simplifies the calculation of angles

• It helps in identifying the hypotenuse

• It allows you to use the Pythagorean theorem

• It makes the equation easier to solve

What is the first step in solving a trigonometry problem using cosine?

• Use the tangent function

• Calculate the angle

• Identify the adjacent side and hypotenuse

• Identify the opposite side

How do you isolate X when it is in the denominator in a trigonometric equation?

• Multiply both sides by X

• Subtract the trigonometric function from both sides

• Divide both sides by the trigonometric function

• Add the trigonometric function to both sides

What should you do if X is 'up high' in a trigonometric equation?

• Subtract

• Multiply

• Add

• Divide

Which trigonometric function is used when you have the opposite and adjacent sides?

• Sine

• Cosine

• Tangent

• Secant

What is the result of 8 times tangent 37, rounded to the nearest tenth?

• 6.2

• 6.1

• 6.0

• 5.9

If X is 'down low' in a trigonometric equation, what should you do?

• Multiply

• Switch

• Add

• Subtract