1/4tan²45°+1/sin²30°-3cos²30°+tan45°/cos60°-sin60°/cos60°
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 22:06:24
![1/4tan²45°+1/sin²30°-3cos²30°+tan45°/cos60°-sin60°/cos60°](/uploads/image/z/2495227-67-7.jpg?t=1%2F4tan%26%23178%3B45%C2%B0%2B1%2Fsin%26%23178%3B30%C2%B0-3cos%26%23178%3B30%C2%B0%2Btan45%C2%B0%2Fcos60%C2%B0-sin60%C2%B0%2Fcos60%C2%B0)
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1/4tan²45°+1/sin²30°-3cos²30°+tan45°/cos60°-sin60°/cos60°
1/4tan²45°+1/sin²30°-3cos²30°+tan45°/cos60°-sin60°/cos60°
1/4tan²45°+1/sin²30°-3cos²30°+tan45°/cos60°-sin60°/cos60°
原式= 1/4×1²+1/(1/2)²-3×(√3/2)²+1/(1/2)-(√3/2)/(1/2)
=1/4+4-9/4+2-√3
=4-√3
=1/4×1+1/(1/2)²-3×(√3/2)²+1/(1/2)-(√3/2)/(1/2)
=1/2+4-9/4+2-√3
=17/4 -√3