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write the sum cos(x)+cos(2x)+...+cos(nx) as a quotient only involving sine and cosine functions

We can write this sum S as Re(e^ix+e^2ix+...+e^nix), we now have a finite geometric series, which we know the formula for.Have, S = Re( e^ix(1-e^inx)/(1-e^ix)) - Now factoring numerator and denominator to...

4328 Views

How do I write an introduction to a persuasive essay?

An introduction comes at the start of the essay and should outline what you are going to say. The middle of the essay is the space where you say what you want to say, and in the conclusion, you say what y...

Answered by Clara H. Religious Studies tutor
1441 Views

Discuss one strength and one weakness of Milgram's study

One major issue with Milgram’s study was that it was highly unethical. The participant’s were firstly deceived into thinking they were genuinely harming someone with the electric shocks, which made them e...

Answered by Psychology tutor
6277 Views

How do buffer solutions work and how do you calculate the pH of a buffer solution?

First consider what a buffer is and what a buffer can be made from. A buffer is a solution resisting change in pH formed from a weak acid and its salt (a conjugate acid base pair), or from any weak acid a...

Answered by Chemistry tutor
2666 Views

x = 0.436363636... . Prove algebraically that x can be written as 24/55.

Let x = 0.436363636...
10x = 4.36363636....1000x = 436.36363636...990x = 432x = 432/990 = 24/55

Answered by Hoonsoo J. Maths tutor
4249 Views

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