化简cos(X-30°)+sin(X+30°)+cosX+1

问题描述:

化简cos(X-30°)+sin(X+30°)+cosX+1

cos(X-30°)+sin(X+30°)+cosX+1=cosX*cos30°+sinX*sin30°+sinX*cos30°+cosX*sin30°+cosX+1=[(根号3+1)/2]sinX+=[(根号3+2)/2]cosX+1