what is trigonometric expansions?

Dear nithin

Representation of power of trignometric ratio in terms trignometric ratio of multiple angel is known as trignometric expansions

 

for example.

cos⁶q = 1/32{cos 6q+6cos 4q+15cos 2q+10 }

or

cos⁷q = 1/64{cos 7q+7cos 5q+21cos 3q+35cos q  }

 

these expantion can bederived by puting cosx =(e^ix+e^-ix)/2

  and expand it with the hepl of binomial .

 

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