Trigonometric Functions in Right Triangles

The video tutorial covers trigonometric functions, focusing on solving right triangles when given one angle and one side. It explains the sine, cosine, and tangent ratios, and demonstrates how to use these ratios to solve for unknown sides of a triangle. The tutorial provides step-by-step calculations for finding side A using the tangent ratio and the hypotenuse using the cosine ratio.

What is the first step when given one angle and one side in a right triangle?

• Calculate the hypotenuse directly

• Find the area of the triangle

• Select the given angle and write out trigonometric functions

• Use the Pythagorean theorem

Which trigonometric function represents the ratio of the opposite side to the hypotenuse?

• Cosine

• Sine

• Secant

• Tangent

What is the cosine of an angle in a right triangle?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Hypotenuse over adjacent

• Opposite over adjacent

Which trigonometric function is described as opposite over adjacent?

• Tangent

• Sine

• Secant

• Cosine

Which trigonometric function is not useful if it contains two unknowns?

• All of the above

• Tangent

• Cosine

• Sine

What is the importance of selecting the correct trigonometric ratio?

• To determine the type of triangle

• To find the area of the triangle

• To solve for the unknowns efficiently

• To ensure the correct angle is used

When solving for side 'a', which trigonometric function is used?

• Cosine

• Cosecant

• Tangent

• Sine

What is the result of multiplying 14 M by 0.364?

• 5.10 M

• 4.10 M

• 6.10 M

• 3.10 M

What is the tangent of 20 degrees used for in this context?

• Determining the angle

• Calculating side 'a'

• Solving for side 'b'

• Finding the hypotenuse

What is the first trigonometric function to consider when solving for side 'a'?

• Sine

• Tangent

• Cosecant

• Cosine