Trigonometry in 30-60-90 Triangles

The video tutorial explains the properties of a 30-60-90 right triangle, detailing how to label the sides with X, 2X, and X√3. It uses a reference triangle to determine sine, cosine, and tangent values for a 30° angle, employing the SOHCAHTOA method. The tutorial concludes by challenging viewers to find the trigonometric function values for a 60° angle.

In a 30-60-90 triangle, if the short leg is labeled as X, what is the length of the hypotenuse?

• X√3

• 2X

• X

• X/2

What is the sine of 30 degrees in a 30-60-90 triangle?

• 2/√3

• 1/2

• √3/2

• 1/√3

How do you calculate the cosine of 30 degrees using a 30-60-90 triangle?

• Adjacent side over hypotenuse

• Opposite side over hypotenuse

• Hypotenuse over opposite side

• Opposite side over adjacent side

What is the tangent of 30 degrees before rationalizing the denominator?

• √3

• 1/√3

• √3/2

• 1/2

What is the next step after rationalizing the tangent of 30 degrees?

• Find the cosine of 60 degrees

• Find all trigonometric values for 60 degrees

• Find the sine of 60 degrees

• Find the tangent of 60 degrees