1.已知X,Y均为锐角,若cosX=4/5,cos(X+Y)=3/5 ,求sinY的值 2.已知sinM=1/3,M是锐角,求cos(M+60)值

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1.已知X,Y均为锐角,若cosX=4/5,cos(X+Y)=3/5,求sinY的值2.已知sinM=1/3,M是锐角,求cos(M+60)值1.已知X,Y均为锐角,若cosX=4/5,cos(X+Y

1.已知X,Y均为锐角,若cosX=4/5,cos(X+Y)=3/5 ,求sinY的值 2.已知sinM=1/3,M是锐角,求cos(M+60)值
1.已知X,Y均为锐角,若cosX=4/5,cos(X+Y)=3/5 ,求sinY的值 2.已知sinM=1/3,M是锐角,求cos(M+60)值

1.已知X,Y均为锐角,若cosX=4/5,cos(X+Y)=3/5 ,求sinY的值 2.已知sinM=1/3,M是锐角,求cos(M+60)值
1

∵X是锐角,
∴sinX=3/5
cos(X+Y)=cosXcosY-sinXsinY
=4/5cosY-3/5sinY
∴4/5cosY-3/5sinY=3/5
∴cosY=(3sinY+3)/4
又(sinY)^2+(cosy)^2=1
代入自己求解吧.
2
∵M是锐角,∴cosM=(2√2)/3
cos(M+60)=cosMcos60-sinMsin60
(自己算吧.嘿嘿、)答案是√2/6