Evaluate trigonometric functions - Math homework answers

The video tutorial covers the properties of a 30-60-90 triangle, including its angles and side relationships. It explains how to calculate trigonometric functions such as cosine, cosecant, and tangent using these triangles. The tutorial also discusses the importance of understanding special triangles and their relationships, providing a foundation for solving trigonometric problems. Key concepts include the use of trigonometric ratios and the relationships between different trigonometric functions.

What are the angles in a 30-60-90 triangle?

• 30, 60, 90 degrees

• 45, 45, 90 degrees

• 60, 60, 60 degrees

• 30, 30, 120 degrees

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

• 0

• sqrt(3)/2

• 1/2

• 1

How is the cosecant of 30 degrees related to the sine of 30 degrees?

• Cosecant is half the sine

• Cosecant is the same as sine

• Cosecant is the reciprocal of sine

• Cosecant is twice the sine

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

• 1

• sqrt(3)

• 1/2

• sqrt(3)/2

Which of the following is a key property of a 45-45-90 triangle?

• The hypotenuse is twice the length of one leg

• The angles are 30, 60, and 90 degrees

• The legs are equal, and the hypotenuse is sqrt(2) times the length of a leg

• All sides are equal