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Daniel J Smith Custom TMUA Set A Paper 1 · Q1

Paper 1Trigonometry

Let

f(x)=acos⁡x+a−cos⁡xf(x)=a^{\cos x}+a^{-\cos x}

with a>0a>0 and real xx

The difference between the maximum and minimum values of f(x)f(x) is 44

Find the sum of the possible values of aa

A22
B33
C44
D55
E66
F323\sqrt2

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