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Simplify p^2× p^5

The answer is P^7 because p is the same in both numbers and their powers need to be added up

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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 = cos⁵ x + 5i cos...

Answered by Tom R. • Further Mathematics tutor

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'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...

Answered by Ellen T. • English Literature tutor

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

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...

Answered by Cezar P. • Maths tutor

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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...

Answered by Mollie S. • Physics tutor

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