Adding, subtracting, multiplying and dividing trig functions

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astro_kat
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Trig Fuctions help! please

hi everyone,

my Trig textbook, is really vague and I'm not sure where i could find better information.

Basically, I'm not sure how to add, subtract, multiply, or divide trig functions. My text siad that to make a sinusoid the periods must be the same, and that the period is always 2 pi...? My book didn't even attempt to sauggest why--I'd really like to know what THE RULES FOR COMBINING AND TRANSFORMING TRIG FUNCTIONS ARE.

Thankyou to anyone who can send me in the right direction.
 
That's really a vague question. The rules for combining and transforming trig functions is the whole subject of 'trigonometry'. Can you be more specific?