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Unattributed TMUA Mock Set A Paper 1 · Q16

Paper 1TrigonometryFunctions & graphs

The graph of the function g(x)g(x) is translated to the left by π6\frac\pi6 to give the graph of f(x)=sin⁡(2x−π6)f(x)=\sin\left(2x-\frac\pi6\right). What is the minimum value of y=g(x)+cos⁡2xy=g(x)+\cos2x on the interval [0,π2]\left[0,\frac\pi2\right]?

A3\sqrt3
B22
C−3-\sqrt3
D32\frac32
E−2-2
F00

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