Regular polygons - class-VIII

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Multiple Answers

If $A+B=\dfrac{\pi}{3}$ and $\cos{A}+\cos{B}=1$, then which of the following is true

  1. $\cos{\left(A-B\right)}=\dfrac{1}{3}$
  2. $\left|\cos{A}-\cos{B}\right|=\sqrt{\dfrac{2}{3}}$
  3. $\cos{\left(A-B\right)}=-\dfrac{1}{3}$
  4. $\left|\cos{A}-\cos{B}\right|=\dfrac{1}{2\sqrt{3}}$
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