Mathematics 9709/22 — May/June 2021

Cambridge AS Level · Pure Mathematics 2 · worked solutions for every part, with the mark scheme

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Topics Trigonometry · Logarithmic and Exponential Functions · Algebra · Differentiation · Integration · Numerical Solution of Equations

Q1Logarithmic and Exponential FunctionsTrigonometryFree sample

(a)

Solve the equation $\ln(2 + x) - \ln x = 2 \ln 3$ .

(b)

Hence solve the equation $\ln(2 + \cot y) - \ln(\cot y) = 2 \ln 3$ for $0 < y < \frac{1}{2}\pi$ . Give your answer correct to 4 significant figures.

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