已知cos(a+π/4)=3/5,x/2<=a<=3π/2,求1:cos(2a+π/4)的值。
1个回答
展开全部
π/2≤a≤3π/2,
cos(a+π/4)=3/5,就是在第四象限;
3π/2<a+π/团虚4<2π,3π<2a+π/2<4π,皮或数π<2a+π/2<2π,
3π-π/4<2a+π/4<4π-π/4,
cos(a+π/4)=3/5,
sin(a+π/4)= -4/5,
cos(2a+π/2)=9/25-16/25=-7/25;
sin(2a+π/2)=-24/25
cos(2a+π/4)=cos(2a+π/2-π/4)=(-7/25+24/25)/√燃首2=17/25/√2
cos(a+π/4)=3/5,就是在第四象限;
3π/2<a+π/团虚4<2π,3π<2a+π/2<4π,皮或数π<2a+π/2<2π,
3π-π/4<2a+π/4<4π-π/4,
cos(a+π/4)=3/5,
sin(a+π/4)= -4/5,
cos(2a+π/2)=9/25-16/25=-7/25;
sin(2a+π/2)=-24/25
cos(2a+π/4)=cos(2a+π/2-π/4)=(-7/25+24/25)/√燃首2=17/25/√2
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询