2sin^230度×tan30度+cos60度×cot30度的值为
问题描述:
2sin^230度×tan30度+cos60度×cot30度的值为
答
2sin^230°×tan30°+cos60°×cot30°
=(1-cos60°)×tan30°+cos60°×cot30°
=(1-sin30°)×tan30°+cos60°×(cos30°/sin30°)
=(1-sin30°)×tan30°+cos30°
=1/2×√3/3+√3/2=2√3/3