Solving for 't': Tips and Tricks for Navigating Tricky Equations

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Homework Help Overview

The problem involves solving for the variable 't' in a trigonometric equation that includes both cosine and sine functions. The equation presented is 1/2 + π/4 = (9.8/4)cos(2t) + sin(2t).

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants express difficulty in their attempts to solve the equation, with one suggesting the need for iterative methods typically used in trigonometric equations. Another participant proposes rewriting the right-hand side in a specific form using trigonometric addition formulas.

Discussion Status

The discussion reflects a mix of shared frustrations and suggestions for potential approaches. While some guidance has been offered regarding rewriting the equation, there is no explicit consensus on a method or solution yet.

Contextual Notes

Participants mention challenges in their thought processes, indicating a possible need for clarity in the problem setup or assumptions about the equation's structure.

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Homework Statement



Solve for 't'
1/2+pi/4 = (9.8/4)cos2t + sin(2t)

The Attempt at a Solution



I don't know what's wrong with my brain today but every attempt came up empty :P
 
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Absent some Jedi mind tricks, most trig equations require an iterative method of solution.
 
SteamKing said:
Absent some Jedi mind tricks, most trig equations require an iterative method of solution.

Nice to know the brain is still functioning properly, it's been a long day :P
 
mesa said:

Homework Statement



Solve for 't'
1/2+pi/4 = (9.8/4)cos2t + sin(2t)

The Attempt at a Solution



I don't know what's wrong with my brain today but every attempt came up empty :P

Re-write the right-hand-side in the form A*cos(2t + ω), where A is the amplitude and ω is the 'phase'. Use the trigonometric addition formulas to (eventually) get numerical values for A and ω.
 

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