Transforming Trigonometric Identities: Solving 2(cosx)^2+2cosxsinx=0

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Homework Help Overview

The discussion revolves around transforming the trigonometric expression 2(cos(x))^2 + 2cos(x)sin(x) and whether it can be set to zero. Participants are exploring the nature of the equation and the identities involved.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the validity of transforming the expression into zero and differentiate between showing an identity and solving an equation. There is also a mention of a miscommunication regarding the equation itself.

Discussion Status

The discussion is currently exploring the distinction between proving an identity and solving an equation. Some participants have provided clarifications, while others have acknowledged misunderstandings regarding the original equation.

Contextual Notes

There is a mention of a potential error in the equation provided by the original poster, which may affect the direction of the discussion.

kasse
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Which trigonometric identitiy are used to transform 2(cos(x))^2+2cos(x)sin(x) into 0?
 
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If you want to show that [tex]2\cos^2 x + 2\cos x \sin x = 0[/tex] identically, you can't because it isn't true.

If you want to solve the equation [tex]2\cos^2 x + 2\cos x \sin x = 0[/tex] that's a different matter entirely. So what is it you want to do?
 
Sorry, I gave you the wrong eq. Solved in on my own here.

What's up in Singapore?
 
kasse said:
Sorry, I gave you the wrong eq. Solved in on my own here.

What's up in Singapore?

Mostly the sky, I guess. :-p
 

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