Verifying Trigonomic Identities

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Homework Help Overview

The discussion revolves around verifying a trigonometric identity involving the equation cos(3θ) = cos3θ - 3sin2θcosθ. Participants are exploring the properties of trigonometric functions and identities.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to manipulate the equation by applying trigonometric identities, such as cos(u+v) and sin2u. Some are questioning how to proceed after factoring out cosθ, while others suggest starting from the left side of the equation.

Discussion Status

The discussion is ongoing, with participants sharing their attempts and approaches. There is a focus on breaking down the left side of the equation, but no consensus or complete solutions have been reached yet.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the type of assistance they can provide. There is a repetition of the homework statement, indicating a potential lack of clarity or confusion about the problem setup.

lucy1234
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Hey,

Can anyone help me solve this equation please?

Thanks

Homework Statement



cos(3θ)=cos3θ-3sin2θcosθ


Homework Equations



cos(u+v) = cosu cosv - sinu sinv
sin2u = 2sinu cosu

The Attempt at a Solution


 
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I started with taking cosθ out of the equation, but got stuck from there
 
lucy1234 said:
Hey,

Can anyone help me solve this equation please?

Thanks

Homework Statement



cos(3θ)=cos3θ-3sin2θcosθ


Homework Equations



cos(u+v) = cosu cosv - sinu sinv
sin2u = 2sinu cosu
I would start in on the left side.
cos(3θ) = cos(2θ + θ) = ?
 
cos3x = cos(2x+x) if that helps.
 
Mark44 said:
I would start in on the left side.
cos(3θ) = cos(2θ + θ) = ?

iRaid said:
cos3x = cos(2x+x) if that helps.
I think that's pretty much what I said.
 

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