Find exact value difference identity

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Homework Help Overview

The discussion revolves around finding the exact value of the expression Tan(3/4 - 12/5), focusing on the use of the tangent difference identity.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the use of the tangent difference identity and question the need for exact values versus approximate calculations. There is uncertainty about how to derive exact values for the tangent ratios involved.

Discussion Status

Some participants are questioning the approach to finding the exact value, with one suggesting a simpler method of subtraction followed by looking up the tangent. Others express confusion about the definitions and the nature of the exact answer.

Contextual Notes

There is mention of pressure to complete the task, which may be influencing the clarity of reasoning among participants.

synergix
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Homework Statement


Find the exact value of the expression Tan(3/4-12/5)

Homework Equations



tan(x-y)= (tan3/4 -tan12/5)/ (1+tan3/4tan12/5)

The Attempt at a Solution



I am not sure how to get exact values for these ratios. I haven't been able to get past this point
 
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synergix said:
Find the exact value of the expression Tan(3/4-12/5)

Hi synergix! :smile:

Why can't you just subtract 12/5 from 3/4, and then look up the tan? :confused:
 
I amnot sure what you mean by look up the tan. I get tan(-33/20) when I subtract them. I can get the answer just not the exact answer.
 
uhhhh... I guess that would be the exact answer... maybe I have confused myself haha.. I'm under a bit of pressure right now to get this done perhaps I have overcomplicated this
 
he he :biggrin:
 

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