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\(\frac{1 + 2sin60°cos60°}{sin60° + cos60°}\) + \(\frac{1 - 2sin60°cos60°}{sin60° - cos60°}\) = ? |
3 2 1 0 |
0 |
\(\frac{1 + 2sin60°cos60°}{sin60° + cos60°}\) + \(\frac{1 - 2sin60°cos60°}{sin60° - cos60°}\) = \(\frac{1 + 2 × \frac{\sqrt{3}}{2} × \frac{1}{2}}{\frac{\sqrt{3 }}{2} + \frac{1}{2}}\) + \(\frac{1 - 2 × \frac{\sqrt{3}}{2} × \frac{1}{2}}{\frac{\sqrt{3 }}{2} - \frac{1}{2}}\) =\(\frac{1 + \sqrt{3}}{1 + \sqrt{3}}\) + \(\frac{1 - \sqrt{3}}{\sqrt{3} - 1}\) = 1 - 1 = 0 |
