本人不会用电脑上的符号,谅解。应选B,13π、4=2π+3π‘4,由正玄函数的周期性,其值=森3π除以4,为根号2除以2.
sin13π/4=sin(12/4+1/4)π=sin(3+1/4)π,由于sin(2kπ+α)=sinα,所以sin13π/4=sin(12/4+1/4)π=sin(3+1/4)π=sin1π/4=sin45°
sin13π/4=sin(3π+π/4)=-sinπ/4=-根号2/2
sin(2π +5π/4)=sin(5π/4)=sin(π+π/4)= -sin(π/4)= -√2/2