Solving trig equation with TI Ispire CX

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Homework Help Overview

The discussion revolves around solving the trigonometric equation xsin(x) - cos(x) = 0 within the interval (0, 4) using a TI-Nspire CX calculator. Participants are exploring the challenges faced when attempting to find solutions through the calculator's algebraic functions.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants describe attempts to solve the equation using the calculator's menu functions, but encounter issues with the output. Some suggest graphing as an alternative approach, while others express a desire to solve it analytically. There is a discussion about the correct interpretation of the function xsin(x) versus x·sin(x).

Discussion Status

The discussion is active, with participants sharing their attempts and experiences. Some guidance has been offered regarding the correct input format for the calculator, and there is acknowledgment of differing experiences between calculator models.

Contextual Notes

Participants are working under the constraints of using a specific calculator model and are focused on finding solutions without graphing. There is a noted difference in functionality between the TI-Nspire and TI-84 calculators.

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Homework Statement


solve xsin(x)-cos(x)=0 on interval (0,4) using the calculator

Homework Equations


xsin(x)-cos(x)=0

The Attempt at a Solution


I have tried working the problem out through first pressing menu- 3 (algebra)- 1 (solve)- inserting the equation- inserting the interval.
However, when I press the enter button, I get this equation instead of solid solution(s).
Below is my work on the graphing calculator.
1515317466681.jpg

 

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Sunwoo Bae said:

Homework Statement


solve xsin(x)-cos(x)=0 on interval (0,4) using the calculator

Homework Equations


xsin(x)-cos(x)=0

The Attempt at a Solution


I have tried working the problem out through first pressing menu- 3 (algebra)- 1 (solve)- inserting the equation- inserting the interval.
However, when I press the enter button, I get this equation instead of solid solution(s).
Below is my work on the graphing calculator.
View attachment 218028
Can't you simply graph that ?
 
Sunwoo Bae said:

Homework Statement


solve xsin(x)-cos(x)=0 on interval (0,4) using the calculator

Homework Equations


xsin(x)-cos(x)=0

The Attempt at a Solution


I have tried working the problem out through first pressing menu- 3 (algebra)- 1 (solve)- inserting the equation- inserting the interval.
However, when I press the enter button, I get this equation instead of solid solution(s).
Below is my work on the graphing calculator.
View attachment 218028
You're missing a couple of steps. Here's a quick tutorial on how to do that exact kind of problem analytically (as opposed to graphically) on the N-Spire.
 
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ComplexVar89 said:
You're missing a couple of steps. Here's a quick tutorial on how to do that exact kind of problem analytically (as opposed to graphically) on the N-Spire.

I tried the exact steps, and the solution turns out the same way.
1515370239689.jpg
I don't know why, but it works on ti 84
1515370241050.jpg
 

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Last edited:
SammyS said:
Can't you simply graph that ?
yes but i want to know how to do it without graphing it!
 
Sunwoo Bae said:
yes but i want to know how to do it without graphing it!
It looks like you have ##\ xsin(x)\ ## rather than ##\ x\cdot\sin(x) \ ##.

So it's not treating ##\ sin\ ## as a function.
 
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SammyS said:
It looks like you have ##\ xsin(x)\ ## rather than ##\ x\cdot\sin(x) \ ##.

So it's not treating ##\ sin\ ## as a function.
thanks it worked!
 

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