函数y=2+sinx-cosx的最大值

2个回答

y=2+sinx-cosx
=2+√2(√2/2sinx-√2/2cosx)
=2+√2(sinxcosπ/4-cosxsinπ/4)
=2+√2sin(x-π/4)
所以最大值=2+√2