求过程以及答案,谢谢!
2个回答
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解:(1)sin75
=sin(45+30)
=sin45cos30+cos45sin30
=2^1/2/2x3^1/2/2+2^1/2/2x1/2
=(6^1/2+2^1/2)/4
(2)cos15=sin(90-15)=sini75=(6^1/2+2^1/2)/4
(3)tan(-15)=-tan15
tan15=tan(45-30)=(tan45-tan30)/(1+tan45tan30)
=(1-3^1/2/3)/(1+1x3^1/2/3)
=2-3^1/2
tan(-15)=-tan15=-(2-3^1/2)=-2+3^1/2=3^1/2-2
答:tan(-15)=3^1/2-2.
=sin(45+30)
=sin45cos30+cos45sin30
=2^1/2/2x3^1/2/2+2^1/2/2x1/2
=(6^1/2+2^1/2)/4
(2)cos15=sin(90-15)=sini75=(6^1/2+2^1/2)/4
(3)tan(-15)=-tan15
tan15=tan(45-30)=(tan45-tan30)/(1+tan45tan30)
=(1-3^1/2/3)/(1+1x3^1/2/3)
=2-3^1/2
tan(-15)=-tan15=-(2-3^1/2)=-2+3^1/2=3^1/2-2
答:tan(-15)=3^1/2-2.
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