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Functions, trigonometry and coordinate geometry

Calculus I: limits, derivatives and their applications · Lesson 1 of 4

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Lesson 1 of 4 · Calculus I: limits, derivatives and their applications

Functions, trigonometry and coordinate geometry

3 quick checks≈3% of the testFoundational

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By the end you’ll be able to

Work fluently with exponential, logarithmic, trigonometric, inverse trigonometric and hyperbolic functions: domains, ranges, graphs and identities
Recall exact trigonometric values at standard angles and apply Pythagorean, double-angle and sum-and-difference identities
Analyse conic sections (circles, ellipses, parabolas, hyperbolas) from their equations, including centres, foci, axes and asymptotes

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Use composition, inverse functions, even/odd symmetry, periodicity and graph transformations to analyse functions

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