Adding Trigonometric Functions: Get the Answer Here!

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The discussion centers on the challenge of combining the trigonometric functions 3cos(600*pi*t), 5sin(1000*pi*t - 45 degrees), and 5sin(1200*pi*t) into a single expression. One participant suggests using the form rsin(alpha*t + beta) to simplify the first two terms, while another asserts that combining all three terms into one sine or cosine function is not feasible. The conversation includes a recommendation to visualize the functions using graphing software like Graphmatica. Ultimately, the feasibility of combining these trigonometric functions remains debated, with differing opinions on the complexity of the task. The thread highlights the intricacies of trigonometric function manipulation in mathematical contexts.
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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