Bernard Halter 08/05/2023 at 11:45 am √89•cos(x) – 3 = √89•sin(x) cos(x) – sin(x) = 3/√89 |•cos(π/4) 0,5√2•cos(x) – 0,5√2•sin(x) = 1,5√2/√89 cos(x + π/4) = 1,5•√178/89 x = 0,55859932 (≈ 32,0054°) Reply
√89•cos(x) – 3 = √89•sin(x)
cos(x) – sin(x) = 3/√89 |•cos(π/4)
0,5√2•cos(x) – 0,5√2•sin(x) = 1,5√2/√89
cos(x + π/4) = 1,5•√178/89
x = 0,55859932 (≈ 32,0054°)
Tan^-1(5/8)