How to use the sine function to find the missing side of a triangle

The video tutorial covers the application of trigonometric functions to solve for unknown side lengths in right triangles. It begins with an introduction to sine, cosine, and tangent, and explains why the Pythagorean theorem and special right triangles are not applicable in certain cases. The instructor guides students through selecting the appropriate trigonometric function using the Sohcahtoa mnemonic and demonstrates solving for an unknown side using the sine function.

What is the main problem the teacher is trying to solve in the video?

• Solving a quadratic equation

• Determining the angle of a triangle

• Calculating the side length of a right triangle

• Finding the area of a triangle

Why can't the Pythagorean theorem be used in this scenario?

• The angle is not 90 degrees

• The hypotenuse is missing

• The triangle is not a right triangle

• The other two side lengths are unknown

Which special right triangles are mentioned as not applicable in this case?

• 30-60-90 and 60-60-60

• 30-60-90 and 45-45-90

• 60-60-60 and 45-45-90

• 30-30-60 and 45-45-90

What trigonometric function is used to solve the problem?

• Sine

• Secant

• Tangent

• Cosine

Which sides of the triangle are used in the sine function?

• Adjacent and opposite

• Opposite and hypotenuse

• Opposite and adjacent

• Adjacent and hypotenuse

What is the calculated length of the side using the sine function?

• 3.79

• 4.79

• 6.79

• 5.79

What is the formula used to find the side length in this problem?

• 14 times the secant of 20 degrees

• 14 times the sine of 20 degrees

• 14 times the tangent of 20 degrees

• 14 times the cosine of 20 degrees