If $\triangle ABC$ is right-angled at $C$,then the value of $\cos(A + B)$ is

  • A
    $1$
  • B
    $\frac{1}{2}$
  • C
    $\frac{\sqrt{3}}{2}$
  • D
    $0$

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$\cos (40^{\circ}-\theta)-\sin (50^{\circ}+\theta) = \ldots \ldots \ldots \ldots$

For $0 < \theta < 90^{\circ},$ the value of $\ldots \ldots \ldots \ldots$ increases as $\theta$ increases from $0^{\circ}$ to $90^{\circ}$.

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