已知tanA=根号3,π<A<3π⼀2,求sinA-cosA的值

2024-11-16 10:54:42
推荐回答(1个)
回答1:

∵tanπ/3=√3、π∴∠A=π+π/3
∴sinA=sin(π+π/3)
=-sin(π/3)
=-√3/2
cosA=cos(π+π/3)
=-cos(π/3)
=-1/2
∴sinA-cosA
=-√3/2+1/2
=(1-√3)/2