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

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SUMMARY

The discussion focuses on the equation 2(cos(x))^2 + 2cos(x)sin(x) = 0, clarifying that it cannot be transformed into an identity. Instead, the equation can be solved, which is a different approach. The participants emphasize the importance of distinguishing between proving identities and solving equations in trigonometry.

PREREQUISITES
  • Understanding of trigonometric identities
  • Knowledge of algebraic manipulation
  • Familiarity with solving trigonometric equations
  • Basic knowledge of sine and cosine functions
NEXT STEPS
  • Study the process of solving trigonometric equations
  • Learn about common trigonometric identities and their applications
  • Explore the use of factoring in trigonometric equations
  • Investigate the graphical representation of trigonometric functions
USEFUL FOR

Students and educators in mathematics, particularly those focusing on trigonometry, as well as anyone looking to deepen their understanding of solving trigonometric equations and identities.

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 2\cos^2 x + 2\cos x \sin x = 0 identically, you can't because it isn't true.

If you want to solve the equation 2\cos^2 x + 2\cos x \sin x = 0 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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