Question

三角函数求值

f(x)=2sin(2x+ Φ) 若f( α)=2 则f（α+π/12）的值为？

求详解，求指点

Answer 1

f(x)=2sin(2x+ Φ)
f( α)=2=2sin(2α+Φ)
sin(2α+Φ)=1
2α+Φ=2kπ+π/2
f（α+π/12)=2sin(2α+Φ+π/6)=2sin(2kπ+π/2+π/6)=2sin(2kπ+2π/3)=2x√3/2=√3

Answer 2

f(x)=2sin(2x+ Φ)
f( α)=2=2sin(2α+Φ)
sin(2α+Φ)=1
2α+Φ=2kπ+π/2
f（α+π/12)=2sin(2α+Φ+π/6)=2sin(2kπ+π/2+π/6)=2sin(2kπ+2π/3)=2x√3/2=√3

Answer 3

0