和差正弦,余弦,正切公式及其相关问题

2024-11-09 06:13:53
推荐回答(1个)
回答1:

sinα + cosα
=√2 * [(1/√2)*sinα + (1/√2) * cosα]
=√2 * [sinα*cos(π/4) + cosα*sin(π/4)] 注:sin(π/4) = cos(π/4) = 1/√2
=√2 * sin(α + π/4) 注:二角和公式,sin(α + β) = sinα*cosβ + cosα*sinβ