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how cos(a)+cos(2a)+cos(3a)+...cos(na)=cos(a+2a+3a+...+na). similarly for sin?

how cos(a)+cos(2a)+cos(3a)+...cos(na)=cos(a+2a+3a+...+na).
 
similarly for sin?

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

Let a = 45
Let n = 2

Cos 45 + cos 90 = cos 45

Now as per rhs. Cos ( 45 + 90 ) = cos ( 135 )

LHS != RHS

Kindly check and repost

Regards

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