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Show, using de Moivre's theorem, that sin 5x = 16 sin^(5) x - 20 sin^(3) x + 5 sin x 

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 = cos 5 x + 5i cos 4 x sin x +10i 2 cos...
TR
37147 Views

'Love which appears too perfect often ends in tragedy'. In light of this statement, examine how Shakespeare presents the love between Othello and Desdemona in the play.

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 Re...
ET
4972 Views

integrate cos^2(x)*sin(x)

integral of cos 2 (x)*sin(x) we notice that we can use the spot the ball method here: Guessed integral: cos 3 (x) Differentiated Guessed Integral: -3sin(x)cos 2 (x), therefore our solution is (-1/3)*cos 3 (x)+c
CP
Answered by Cezar P. • Maths tutor
9124 Views

What's the difference between velocity and speed?

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 tw...
MS
Answered by Mollie S. • Physics tutor
3466 Views

If a=2 and b=3 , find the value of 2(a−b)+3(a+b)

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(2-b)+3(2+b) We k...
AC
Answered by Andrea C. • Maths tutor
15263 Views