Tangent and Secant
Tangent 0 and undefined?
Before you start, please answer the following questions without using any technology. (1) When is the tangent function 0? How do you know? (2) When is the tangent function undefined? How do you know?
Secant 0 and undefined.
Before you start, please answer the following questions without using any technology. (1) When is the secant function 0? How do you know? (2) When is the secant function undefined? How do you know?
Define the tangent
Which line(s) did you need to turn on to find the segment that when related to the arc will create the tangent function?
- A
- B
- C
- D
Explain tangent
Identify the segment for the tangent by identifying its endpoints and explain why this is the tangent.
Define the secant
Which line(s) did you need to turn on to find the segment that when related to the arc will create the secant function?
- A
- B
- C
- D
Test your conjecture!
Explain the secant
Identify the segment for the secant by identifying its endpoints and explain why this is the secant.
Test your conjecture!
When are tangent and secant 0 and undefined?
After you create the graphical representations, revisit (but don't edit) your responses to Q2 and Q3. Can you use the geometric interpretation to answer Q2 and Q3 differently? If so, explain.
Help me remember!
The process of adding the lines to find or create the tangent and secant function is not easy. How would you describe the for a student who hasn't seen this before. How would you construct the two functions and use your constructions to create the graphical representation?