How to evaluate for sine of 60 degrees using special right triangles

The video tutorial covers special right triangles, focusing on 30-60-90 and 45-45-90 triangles. It explains the relationships between the sides of these triangles and demonstrates how to calculate the sine of 60 degrees using these properties. The lesson concludes with a verification of the calculation using a calculator.

Which special right triangle is derived from an equilateral triangle?

• 30-30-120 triangle

• 60-60-60 triangle

• 30-60-90 triangle

• 45-45-90 triangle

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

• 2X

• X√3

• X

• X/2

What is the length of the long leg in a 30-60-90 triangle if the short leg is X?

• X√3

• X

• 2X

• X/2

How do you calculate the sine of a 60-degree angle in a 30-60-90 triangle?

• Opposite over adjacent

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Opposite over hypotenuse

What is the sine of 60 degrees in decimal form?

• 0.67

• 0.5

• 0.86

• 0.75