
高一数学:化简:(tan10°-√3)·cos10°/sin50°
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(tan10°-√3)×cos10°/sin50°
=(sin10°/cos10°-√3)×cos10°/sin50°
=(sin10°-√3cos10°)/sin50°
=2(cos60°sin10°-sin60°cos10°)/sin50°
=2×sin(10°-60°)/sin50°
=-2
=(sin10°/cos10°-√3)×cos10°/sin50°
=(sin10°-√3cos10°)/sin50°
=2(cos60°sin10°-sin60°cos10°)/sin50°
=2×sin(10°-60°)/sin50°
=-2
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