TMUA 2022 Paper 1 Q9 — Worked Solution

P1·Trigonometry, Functions, Transformations & Graphs·6.5Official · 2022 · Q9

simultaneous-functionsquadratic-formulapythagorean-identity

This question is about pairs of functions

f

and

g

that satisfy

f (x) - g (x) = 2 sin x

f (x) g (x) = cos^{2} x

for all real numbers

x

.Across all solutions for

f (x)

, what is the minimum value that

f (x)

attains for any

x

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