已知函数fx=Asin(x+π/4),且f(5/12π)=3/2
问题描述:
已知函数fx=Asin(x+π/4),且f(5/12π)=3/2
求A的值
若f(θ)+f(-θ)=3/2,θ∈(哦,π/2),求f(3/4π-θ)
答
f(5π/12)=Asin(5π/12+π/4) =Asin(2π/3) =A *√3 /2, (√ 为根号)=3/2A=√3f(θ)+f(-θ)=3/2√3 sin(θ+π/4)+√3 sin(-θ+π/4)=3/2sin(θ+π/4)+ sin(-θ+π...