作业帮计算 sin10°^2 + sin50°^2 + sin10°sin50° 的值? 答案：3/4
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/11/08 03:26:49
计算 sin10°^2 + sin50°^2 + sin10°sin50° 的值? 答案：3/4
我没学和积化差 ，，请用别的方法！
我没学和积化差 ，，请用别的方法！
原式=(1-cos20)/2+（1-coxs100)/2+sin10sin(10+40)
=1-1/2(cos20+cosx100)+sin10^2cos40+sin10cos10sin40
=````````````````````````````+cos40(1-cos20)/2+sin20sin40/2
=````````````````````````````+cos40/2-1/2(cos40cos20-sin40sin20)
=1-1/2(cos20+cos100)+cos40/2-1/2cos60
接下来再把再把cos100=-cos（20+60）带进去展开带进去算··········
别偷懒奥哦··
=1-1/2(cos20+cosx100)+sin10^2cos40+sin10cos10sin40
=````````````````````````````+cos40(1-cos20)/2+sin20sin40/2
=````````````````````````````+cos40/2-1/2(cos40cos20-sin40sin20)
=1-1/2(cos20+cos100)+cos40/2-1/2cos60
接下来再把再把cos100=-cos（20+60）带进去展开带进去算··········
别偷懒奥哦··
计算 sin10°^2 + sin50°^2 + sin10°sin50° 的值? 答案：3/4
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