计算cos^4(π/8)+sin^4(π/8)=____ 怎么做的?
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计算cos^4(π/8)+sin^4(π/8)=____ 怎么做的?
![计算cos^4(π/8)+sin^4(π/8)=____ 怎么做的?](/uploads/image/z/2523004-52-4.jpg?t=%E8%AE%A1%E7%AE%97cos%5E4%28%CF%80%2F8%29%2Bsin%5E4%28%CF%80%2F8%29%3D____+%E6%80%8E%E4%B9%88%E5%81%9A%E7%9A%84%3F)
cos^4(π/8)+sin^4(π/8)
=(cos^2(π/8)+sin^2(π/8))^2-2cos^2(π/8)sin^2(π/8)
=1-0.5sin^2(π/4)
=3/4
=(cos^2(π/8)+sin^2(π/8))^2-2cos^2(π/8)sin^2(π/8)
=1-0.5sin^2(π/4)
=3/4
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