Trigonometric Functions and Angles

The video tutorial covers trigonometry for special angles, focusing on 30, 45, and 60 degrees. It explains how to solve 45-45-90 and 30-60-90 triangles using geometry and the Pythagorean theorem. The tutorial also demonstrates how to calculate exact trigonometric ratios for these angles, emphasizing the importance of memorizing these values for future use.

What are the special angles discussed in this lesson?

• 60, 90, 120 degrees

• 45, 60, 90 degrees

• 30, 45, 60 degrees

• 15, 30, 45 degrees

What type of triangle has all sides equal?

• Right

• Equilateral

• Isosceles

• Scalene

In a 45-45-90 triangle, what is the measure of each of the two equal angles?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

How do you find the hypotenuse in a 45-45-90 triangle?

• Using the tangent rule

• Using the cosine rule

• Using the sine rule

• Using Pythagoras' theorem

What is the length of the hypotenuse in a 45-45-90 triangle if each leg is 1?

• √3

• 2

• √2

• 1

In an equilateral triangle, what is the measure of each angle?

• 90 degrees

• 30 degrees

• 45 degrees

• 60 degrees

How is the 60-degree angle in an equilateral triangle split in a 30-60-90 triangle?

• Into two 90-degree angles

• Into two 45-degree angles

• Into two 30-degree angles

• Into two 60-degree angles

What is the length of the altitude in a 30-60-90 triangle if the hypotenuse is 2?

• 1

• √2

• √3

• 2

What is the length of the altitude in an equilateral triangle with side length 2?

• 1

• √3

• √2

• 2

What is the exact value of √3?

• 1.7

• 1.73205...

• 1.73

• 1.732