Solving: 3cos(t)-sin(t)cos(t)=0

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Homework Help Overview

The discussion revolves around solving the equation 3cos(t) - sin(t)cos(t) = 0, which involves trigonometric functions. Participants are exploring the implications of the factors derived from the equation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the factorization of the equation, noting that one factor leads to cos(t) = 0. There is confusion regarding the validity of sin(t) = 3, with some questioning its feasibility.

Discussion Status

There is ongoing exploration of the implications of the factors obtained from the equation. Some participants have pointed out that cos(t) = 0 is a valid path, while others are clarifying the distinction between the factors and their respective solutions.

Contextual Notes

Participants are grappling with the implications of trigonometric identities and the constraints of the sine function, particularly the undefined nature of sin(t) = 3.

IntegralDerivative
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Homework Statement


upload_2017-5-16_1-5-4.png


Homework Equations

The Attempt at a Solution


cos(t) (3-sin(t)) = 0

but I get cos(t) =0 and sin(t)=3

but I thought sin(t) =3 is undefined?
 
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Then the factor that will give you the solutions is just ##\cos t = 0##.
 
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blue_leaf77 said:
Then the factor that will give you the solutions is just ##\cos t = 0##.
Then the next step would be: What values of t make cos(t) equal zero?
 
IntegralDerivative said:
I get cos(t) =0 and sin(t)=3
No, you get cos(t) =0 or sin(t)=3.
 

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