Adding Trigonometric Functions: Get the Answer Here!

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Discussion Overview

The discussion revolves around the mathematical problem of combining trigonometric functions into a single expression. Participants explore methods for adding the functions 3cos(600*pi*t), 5sin(1000*pi*t - 45degrees), and 5sin(1200*pi*t), considering both theoretical approaches and practical plotting.

Discussion Character

  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant asks how to combine the trigonometric functions into a single expression.
  • Another participant suggests that combining them would result in a complex expression and recommends plotting the graph instead.
  • A different participant proposes a method involving setting the first two terms equal to a single sine function and finding parameters r, alpha, and beta.
  • In contrast, another participant asserts that it is not possible to combine the three terms into one sine or cosine term.

Areas of Agreement / Disagreement

Participants express differing views on whether the trigonometric functions can be combined into a single term, indicating a lack of consensus on the approach.

Contextual Notes

Some assumptions about the methods for combining trigonometric functions may be implicit, and the discussion does not resolve the mathematical steps involved in the proposed methods.

vptran84
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Hi, wat would you get if you add these:

3cos(600*pi*t) + 5sin(1000*pi*t - 45degrees) + 5sin(1200*pi*t)? thanks in advance...
 
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what exactly are u looking for? because if u want to combine this into 1 expression then it must be ugly ... u can plot the graph in graphmatica and see the graph of the expression ...

-- AI
 
yes i want to combine them into one...does anyone know how to combine it? and if they do, and you give me some tips? thanks
 
set 3cos(600*pi*t) + 5sin(1000*pi*t - 45degrees) = rsin(alpha*t + beta)
try to find r,alpha and beta.

then set 5sin(1200*pi*t) + rsin(alpha*t+beta) = r'sin(alpha'*t+beta')
try to find r',alpha' and beta'.

and ur done!
simple isn't it? :-p

-- AI
 
It is not possible to combine these three terms into one sine or cosine term.

- Warren
 

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