tan1°tan2°...tan88°tan89°的值

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tan1°tan2°...tan88°tan89°的值tan1°tan2°...tan88°tan89°的值tan1°tan2°...tan88°tan89°的值tan1*tan89=sin1/cos

tan1°tan2°...tan88°tan89°的值
tan1°tan2°...tan88°tan89°的值

tan1°tan2°...tan88°tan89°的值
tan1*tan89=sin1/cos1*sin89/cos89=sin1/cos1*cos1/sin1=1.
tan2*tan88=sin2/cos2*sin88/cos88=sin2/cos2*cos2/sin2=1.
.
tan44*tan46=sin44/cos44*sin46/cos46=sin44/cos44*cos44/sin44=1.
tan45=1
所以原式=1

因为tan(x°)×tan(90°-x°)=1
所以上式=tan45°=1

tan(x°)×tan(90°-x°)=1
所以首尾相乘=1