Solving Complex Homework Equations

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Homework Help Overview

The discussion revolves around solving a trigonometric equation involving sine and cosine functions. The original poster presents an equation that combines these functions and seeks assistance in manipulating it to find a solution.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to simplify the equation using trigonometric identities but expresses uncertainty about their approach. Some participants suggest using the identity sin² + cos² = 1, while others question how to eliminate the term sin θ * cos θ from the equation.

Discussion Status

Participants are exploring different identities and approaches to manipulate the equation. There is a focus on rewriting terms in a different form, but no consensus has been reached on the best method to proceed.

Contextual Notes

The original poster indicates a lack of clarity on the steps to take next, highlighting potential gaps in understanding the application of trigonometric identities in this context.

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Homework Statement


1 = 121 sinθ *cosθ + 592.9 (cos²θ)


Homework Equations





The Attempt at a Solution



1= 60.5 * 2 *sin θ *cosθ + 592.9 (cos²θ)
1= 60.5 sin 2θ + 592.9 (cos²θ)
1-60.5 sin 2θ / cos θ cos θ= 592.9

am i doing it rite? i don't know what to do
 
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Use [tex]sin^2 + cos^2 =1[/tex]
 
but i don't know how to get rid of sin θ *cosθ
 
You wrote sin(theta)*cos(theta) in terms of sin(2*theta). Write cos(theta)^2 in terms of cos(2*theta).
 

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