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what is trigonometric expansions?

what is trigonometric expansions?

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

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 =(eix+e-ix)/2

  and expand it with the hepl of binomial .

 


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Badiuddin

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