求值:tan675°+cos675°-sin(-5π\2)+1\cos(-17π\3)=
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![求值:tan675°+cos675°-sin(-5π\2)+1\cos(-17π\3)=](/uploads/image/z/12582669-21-9.jpg?t=%E6%B1%82%E5%80%BC%3Atan675%C2%B0%2Bcos675%C2%B0-sin%28-5%CF%80%5C2%29%2B1%5Ccos%28-17%CF%80%5C3%29%3D)
求值:tan675°+cos675°-sin(-5π\2)+1\cos(-17π\3)=
求值:tan675°+cos675°-sin(-5π\2)+1\cos(-17π\3)=
求值:tan675°+cos675°-sin(-5π\2)+1\cos(-17π\3)=
tan675°+cos675°-sin(-5π/2)+1/cos(-17π/3)
=tan(720°-45°)+cos(720°-45°)-sin(-5π/2+2π)+1/cos(-17π/3+6π)
=-tan45°+cos45°-sin(-π/2)+1/cos(π/3)
=-tan45°+cos45°+sin(π/2)+1/cos(π/3)
=-1+√2/2+1+1/(1/2)
=√2/2+2