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Using the question, first use de Moivre's theorem to say (cos x + i sin x)^5 = cos 5x + isin 5x. Now we can use a binomial expansion on the RHS to say 

cos 5x + isin 5x = cos⁵ x + 5i cos...

Shakespeare's, 'Othello' follows a defiant love story which ends in tragedy as the eponymous protagonist succumbs to the, 'green eyed monster' in place of his trust in Desdemona. In a time of romanticised...

integral of cos²(x)*sin(x) we notice that we can use the spot the ball method here: Guessed integral: cos³(x) Differentiated Guessed Integral: -3sin(x)cos²(x), therefore o...

Velocity and speed and vector and scalar quanities respectively. Vector quantities have both direction and magnitude (size), whilst scalars only have magnitiude. It is important to distinguish between the...

My explanation would depend on the level of understanding of the person but one way would be the following:

We know that a = 2. Substitute the value of "a" in the given equation:

2...