Evaluating six trigonometric functions of a right triangle

The video tutorial explains the concept of cosecant in trigonometry, starting with its definition as the hypotenuse over the opposite side. The instructor demonstrates how to construct a triangle using given values and applies the Pythagorean theorem to find the adjacent side. The tutorial covers the relationships between trigonometric functions and their reciprocals, including sine, cosine, and secant. It concludes with calculations of tangent and cotangent, emphasizing the importance of understanding these functions in different triangle configurations.

What does the cosecant function represent in a right triangle?

• Adjacent over opposite

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Hypotenuse over opposite

Which theorem is used to find the missing side of a right triangle?

• Tangent Rule

• Sine Rule

• Cosine Rule

• Pythagorean Theorem

What is the relationship between sine and cosecant?

• They are complements

• They are inverses

• They are reciprocals

• They are equal

How is the cosine of an angle in a right triangle defined?

• Opposite over hypotenuse

• Hypotenuse over adjacent

• Opposite over adjacent

• Adjacent over hypotenuse

What is the cotangent of an angle in terms of triangle sides?

• Hypotenuse over opposite

• Adjacent over opposite

• Opposite over adjacent

• Hypotenuse over adjacent