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A curve has parametric equations x = 1 - cos(t), y = sin(t)sin(2t) for 0 <= t <= pi. Find the coordinates where the curve meets the x-axis.

If the curve is meeting the x-axis, notice that this means y = 0. So we must solve sin(t)sin(2t) = 0 for t within the given bounds. Using a trigonometric identity sin(2t) = 2cos(t)sin(t), we obtain sin 2 (t)...
CB
Answered by Callum B. • Maths tutor
16822 Views

How does Angela Carter's "The Bloody Chamber" rewrite gothic tales according to a feminist agenda?

Carter's intentions for reimagining of the Gothic genre in her 1979 collection of short stories The Bloody Chamber can be more clearly understood when considering her political motives - she was a second-wav...
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Answered by Alex L. • English tutor
8882 Views

Why is the integral of 1/sqrt(1-x^2)dx = sin^{-1}(x)?

This is an example of an integral that uses trigonometric substitutions, which is quite a common theme for A-level further maths questions. Firstly, notice the denominator is quite unpleasant, so to make thi...
CB
39503 Views

When should you use the past historic (passé simple)?

You can use the passé simple in any formal piece of writing, but as it is quite a literary way of writing, it's generally more appropriate to pieces of writing in which you might be narrating a story. It is ...
CW
Answered by Carys W. • French tutor
3038 Views

How successfully does Catullus portray the pathos of Ariadne? (25)

Catullus successfully creates pathos for Ariadne in poem 64 by referring first to her utter surprise of Theseus’ departure. He then describes her total despair as she realises what she has sacrificed for him...
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Answered by Abigail G. • Latin tutor
3433 Views