Solving a Trigonometry Question: Rate of Change from pi to 11pi/6

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Homework Help Overview

The discussion revolves around finding the rate of change of the function f(x) = tan(x) between the points x = π and x = 11π/6. Participants are exploring the mathematical reasoning behind the calculation of the difference between these two angles.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand the calculation of the difference 11π/6 - π and seeks clarification on how it simplifies to 5π/6. Some participants question the original poster's understanding of basic fraction operations.

Discussion Status

The discussion is ongoing, with participants providing different perspectives on the calculation involved in determining the rate of change. There is no explicit consensus, but some guidance has been offered regarding the interpretation of the gradient.

Contextual Notes

There is an indication that the original poster may be new to the topic, and some participants express frustration with the basic nature of the question. The context suggests a need for foundational understanding in trigonometric functions and their rates of change.

macdreboi
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Hey guys I am new in this forum so if i posted this question in the wrong section, please notify me. Anyway.
My concern here is this.

So I am trying to find the RATE OF CHANGE of f from pi to 11pi/6

f(x)= tan x

I have attached the part i need help on.
Note: This is very simple but there is one step which i don't understand.

The part where 11pi/6 - pi = 5pi/6 <----- How is this? Please explain...
thanks in advance.
 

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Don't you know how to add and subtract fractions?
 
the question is as good as asking you to find the gradient,

so the '11pi/6 - pi = 5pi/6' part is the x value of the gradient.,

similarly, the y value of the gradient is the top part as shown in your question

gradient is

y1 - y0
--------
x1 - x0
 
macdreboi said:
Hey guys I am new in this forum so if i posted this question in the wrong section, please notify me. Anyway.
My concern here is this.

So I am trying to find the RATE OF CHANGE of f from pi to 11pi/6

f(x)= tan x

I have attached the part i need help on.
Note: This is very simple but there is one step which i don't understand.

The part where 11pi/6 - pi = 5pi/6 <----- How is this? Please explain...
thanks in advance.
11pi/6- pi= pi(11/6- 1)= pi(11/6- 6/6).
 

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