数学cos(a+PAI/4)=3/5π/2≤A≤3π/2求COS
c(a+PAI/4)=3/5 π/2≤A≤3π/2 求COS(2A+PAI/4)的值 麻烦啦~
cos(a+PAI/4)=3/5 cos a*cos(PAI/4)-sin a*sin(PAI/4)=3/5 cos a-sin a=3*(根号2)/5 两边平方 1-2sin a*cos a=18/25 1+2sin a*cos a=32/25 cos a+sin a=4*(根号2)/5 cos(2a+PAI/4)=[(cos a)^2-(sin a)^2-2sin a*cos a]/(根号2) (cos a)^2-(sin a)^2=(cos a+sin a)(cos a+sin a)=24/25