Reciprocal Identities and Functions

The video tutorial covers the concept of reciprocals and their application in trigonometry, focusing on reciprocal identities. It explains how to correctly write reciprocals and avoid common mistakes, such as confusing them with inverse functions. The tutorial also highlights the importance of understanding the multiplicative properties of reciprocals, providing examples to reinforce learning. The goal is to help students memorize and apply these identities effectively in trigonometry.

What is the reciprocal of 3/4?

• 1/4

• 1/3

• 3/4

• 4/3

If the reciprocal of a number is 5, what is the original number?

• 1/5

• 1

• 10

• 5

What is the reciprocal of 1/7?

• 7

• 1/7

• 0.7

• 14

What is the reciprocal of 2/5?

• 1/2

• 2/5

• 1/5

• 5/2

What is the reciprocal of 1/3?

• 1/3

• 3

• 0.3

• 9

What is the reciprocal of 5?

• 1/5

• 5

• 0.2

• 10

Which of the following is a reciprocal identity in trigonometry?

• sin(θ) = 1/csc(θ)

• cos(θ) = 1/tan(θ)

• tan(θ) = 1/sec(θ)

• csc(θ) = 1/cos(θ)

What is the reciprocal identity for secant?

• sec(θ) = 1/tan(θ)

• sec(θ) = 1/cos(θ)

• sec(θ) = 1/sin(θ)

• sec(θ) = 1/csc(θ)

Which trigonometric function is the reciprocal of tangent?

• secant

• cotangent

• cosecant

• sine

Which of the following is NOT a reciprocal identity?

• tan(θ) = 1/cot(θ)

• cos(θ) = 1/sec(θ)

• sin(θ) = 1/csc(θ)

• sec(θ) = 1/sin(θ)