Trigonometry Functions and Applications

The video tutorial demonstrates the practical use of trigonometric functions in solving right triangle problems. It begins with an introduction to a problem involving a right triangle with a given angle and hypotenuse. The instructor explains how to find the adjacent side using the cosine function and the mnemonic SOHCAHTOA. A second problem is presented, where the tangent function is used to find the adjacent side when the opposite side and angle are known. The tutorial emphasizes understanding which trigonometric function to use based on the given sides and angle.

What is the measure of the angle in degrees if it is given as pi/4 radians?

• 90 degrees

• 30 degrees

• 60 degrees

• 45 degrees

In a right triangle, which trigonometric function relates the adjacent side and the hypotenuse?

• Tangent

• Secant

• Sine

• Cosine

If the hypotenuse of a right triangle is 10√2 and the angle is pi/4, what is the length of the adjacent side?

• 10

• 10√2

• 5

• 20

What is the cosine of pi/4?

• 1

• 1/2

• √2/2

• √3/2

Which method is NOT mentioned for finding the cosine of an angle?

• Given in the problem

• Using a calculator

• Using a protractor

• Using trig tables

In the new triangle problem, what is the angle given in radians?

• 3.14 radians

• 1.57 radians

• 2.71 radians

• 0.54 radians

Which trigonometric function is used to solve for the adjacent side when given the opposite side and an angle?

• Cotangent

• Sine

• Cosine

• Tangent

If the opposite side is 3 and the angle is 0.54 radians, what is the length of the adjacent side?

• 4

• 3

• 5

• 6

What is the tangent of 0.54 radians in the given problem?

• 4/5

• 3/5

• 2/3

• 1/2

What is the first step in solving a trigonometry problem involving a right triangle?

• Identify the hypotenuse

• Identify the given angle

• Determine which sides are known

• Choose the correct trigonometric function