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Nusret Balcı TMUA Paper 1 · Q9

Paper 1TrigonometryFunctions & graphs

The difference between the maximum and minimum values of the function

f(x)=asin⁡x−a−sin⁡xf(x)=a^{\sin x}-a^{-\sin x}

where a>0a>0 and xx is real, is 3.

Find the sum of the possible values of aa.

A22
B52\frac52
C33
D13\sqrt{13}
E222\sqrt2
F44
G55

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