Find the missing side of a triangle using special right triangles

The video tutorial explains how to identify relationships using trigonometric functions, specifically focusing on a 45-degree angle. It demonstrates solving for X using the sine function and provides an alternative method for solving the same problem. The tutorial emphasizes understanding the trigonometric relationships and rationalizing the denominator to achieve the final solution.

What is the relationship between the opposite side and the hypotenuse in a right triangle when using the sine function?

• Opposite over adjacent

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Opposite over hypotenuse

What is the sine of a 45-degree angle?

• 1

• sqrt(3)/2

• sqrt(2)/2

• 1/2

If the hypotenuse of a right triangle is 30 meters, what is the length of the opposite side when the angle is 45 degrees?

• 30 sqrt(2) meters

• 15 sqrt(2) meters

• 30 meters

• 15 meters

What is the result of rationalizing the denominator of 30/sqrt(2)?

• 15 sqrt(2)

• 30 sqrt(2)

• 15

• 30

Which method can be used to verify the solution of a trigonometric problem?

• Changing the triangle type

• Using multiple methods

• Ignoring the angle

• Using only one method