1.已知A,B均为锐角,且cos(A+B)=sin(A-B),则tanA=_____2.(sin7+cos15sin8)/cos7-sin15sin8的值为多少(角度为角度制!)

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1.已知A,B均为锐角,且cos(A+B)=sin(A-B),则tanA=_____2.(sin7+cos15sin8)/cos7-sin15sin8的值为多少(角度为角度制!)

1.已知A,B均为锐角,且cos(A+B)=sin(A-B),则tanA=_____2.(sin7+cos15sin8)/cos7-sin15sin8的值为多少(角度为角度制!)
1.已知A,B均为锐角,且cos(A+B)=sin(A-B),则tanA=_____
2.(sin7+cos15sin8)/cos7-sin15sin8的值为多少(角度为角度制!)

1.已知A,B均为锐角,且cos(A+B)=sin(A-B),则tanA=_____2.(sin7+cos15sin8)/cos7-sin15sin8的值为多少(角度为角度制!)
1. cos(A+B)=cosAcosB-sinAsinB
sin(A-B)=sinAcosB-sinBcosA
cosAcosB-sinAsinB=sinAcosB-sinBcosA
cosA(cosB+sinB) =sinA(cosB+sinB)
tanA=1
2. sin7=sin(15-8)=sin15cos8-sin8cos15
cos7=cos(15-8)=cos15cos8+sin15sin8
原式=sin15cos8/cos15cos8=tan15