Trigonometric Functions and Their Applications

The video tutorial covers the basics of trigonometry, focusing on the cosine and sine functions. It begins with an introduction to the problem, followed by a detailed explanation of how to identify and use the cosine function to solve for unknowns in a right triangle. The tutorial then transitions to the sine function, explaining its application and providing a step-by-step solution. Emphasis is placed on understanding the process rather than relying solely on calculators.

What is the first step in solving a trigonometry problem when given an angle and sides?

• Use the Pythagorean theorem

• Multiply both sides by the angle

• Identify the trigonometric function to use

• Calculate the hypotenuse

How do you determine which trigonometric function to use in a problem?

• By guessing

• By looking at the given sides and angle

• By using the longest side

• By using the shortest side

Why is cosine used in the first problem?

• Because it involves the opposite side

• Because it involves the adjacent and hypotenuse

• Because it is the longest side

• Because it is the shortest side

What is the relationship between the sides in a right triangle when using cosine?

• Opposite over adjacent

• Hypotenuse over adjacent

• Adjacent over hypotenuse

• Opposite over hypotenuse

What is the significance of the hypotenuse in trigonometry?

• It is always the opposite side

• It is always the longest side

• It is always the shortest side

• It is always the adjacent side

What is the importance of showing your work in trigonometry problems?

• It helps in understanding the problem

• It is not necessary if you have a calculator

• It is only needed for exams

• It makes the problem more complex

What should you do if you want to isolate a variable in a trigonometric equation?

• Add the same number to both sides

• Multiply both sides by the same number

• Subtract the same number from both sides

• Divide both sides by the same number

What is the result of multiplying both sides of an equation by the same number?

• The equation becomes invalid

• The equation becomes simpler

• The equation remains balanced

• The equation becomes more complex

In the second problem, which trigonometric function is identified for use?

• Secant

• Tangent

• Cosine

• Sine

What is the purpose of using sine inverse in the second problem?

• To find the hypotenuse

• To find the opposite side

• To find the angle

• To find the adjacent side