For acute angles $A$ and $B,$ if $\tan A = 1$ and $\sin B = \frac{1}{\sqrt{2}},$ then $\cos (A + B) = \dots$

  • A
    $0$
  • B
    $1$
  • C
    $\sqrt{2}$
  • D
    $\frac{1}{\sqrt{2}}$

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