tan(3π/2+a)=tan(π/2+a)=-cota=4/3
cosa/sina=-4/3
cosa=-(4/3)sina
代入恒等式sin²a+cos²a=1
sin²a=9/25,cos²a=16/25
a在第四象限,所以sina0
所以 sina=-3/5,cosa=4/5
cos(a-3π/4)
=cosacos3π/4+sinasin3π/4
=-2√2/5-3√2/10
=-7√2/10
tan(3π/2+a)=tan(π/2+a)=-cota=4/3
cosa/sina=-4/3
cosa=-(4/3)sina
代入恒等式sin²a+cos²a=1
sin²a=9/25,cos²a=16/25
a在第四象限,所以sina0
所以 sina=-3/5,cosa=4/5
cos(a-3π/4)
=cosacos3π/4+sinasin3π/4
=-2√2/5-3√2/10
=-7√2/10