Cosecant and Reciprocal Functions

This video tutorial covers the concept of reciprocals, starting with basic numerical examples and extending to trigonometric functions. It explains how to find reciprocals of sine, cosine, and tangent, introducing terms like cosecant, secant, and cotangent. The video uses special triangles to demonstrate these concepts and provides guidance on using calculators to compute reciprocal functions, emphasizing the importance of not confusing inverse functions with reciprocals.

What is the reciprocal of the number 7?

• 1/7

• 1/14

• 7

• 14

If the reciprocal of 2/3 is taken, what is the result?

• 1/3

• 2/3

• 3/2

• 1/2

What is the reciprocal function of sine called?

• Tangent

• Cotangent

• Cosecant

• Secant

Which of the following is the reciprocal of cosine?

• Sine

• Cotangent

• Secant

• Cosecant

What is the reciprocal function of tangent known as?

• Cosecant

• Secant

• Cotangent

• Cosine

What is the reciprocal of sin(θ) in trigonometry?

• Cos(θ)

• Sec(θ)

• Cosec(θ)

• Cot(θ)

If sine is opposite over hypotenuse, what is cosecant?

• Hypotenuse over opposite

• Opposite over adjacent

• Hypotenuse over adjacent

• Adjacent over hypotenuse

What is the reciprocal of cosine in terms of triangle sides?

• Hypotenuse over opposite

• Adjacent over hypotenuse

• Hypotenuse over adjacent

• Opposite over adjacent

In a right triangle, if tangent is opposite over adjacent, what is cotangent?

• Hypotenuse over opposite

• Adjacent over hypotenuse

• Adjacent over opposite

• Opposite over hypotenuse

What is the reciprocal of tan(θ) in trigonometry?

• Cot(θ)

• Cosec(θ)

• Sin(θ)

• Sec(θ)