Trigonometric Functions and Identities

The video tutorial introduces the concept of right triangles and the Pythagorean theorem, emphasizing the importance of the hypotenuse. It explains how to differentiate between the adjacent and opposite sides of a triangle when given an angle. The tutorial then introduces the six trigonometric functions: sine, cosine, tangent, and their reciprocals, cosecant, secant, and cotangent. Each function is defined in terms of the sides of a right triangle. The video concludes with a summary and an invitation for viewers to ask questions.

What is the Pythagorean theorem used for in a right triangle?

• Determining the angles of the triangle

• Finding the length of the hypotenuse

• Measuring the perimeter of the triangle

• Calculating the area of the triangle

Which side of a right triangle is always the longest?

• Adjacent side

• Opposite side

• Hypotenuse

• Base

In relation to an angle, what is the side called that is directly across from it?

• Hypotenuse

• Base

• Adjacent side

• Opposite side

What is the sine of an angle in a right triangle?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Hypotenuse over opposite

• Opposite over adjacent

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

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

What is the tangent of an angle in a right triangle?

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Opposite over adjacent

• Opposite over hypotenuse

What is the reciprocal of the sine function?

• Secant

• Cosecant

• Tangent

• Cotangent

Which function is the reciprocal of cosine?

• Tangent

• Secant

• Cosecant

• Cotangent

What is the reciprocal of the tangent function?

• Sine

• Cotangent

• Cosecant

• Secant

Which trigonometric function is defined as hypotenuse over opposite?

• Secant

• Cosecant

• Tangent

• Cotangent