How do you solve #sin x - 2 cos x = 2#?
1 Answer
May 8, 2015
Call y the arc that tan y = 2 = tan 63.43 deg.
sin y = sin 63.43 = 0.89
cos y = cos 63.43 = 0.45
f(x) =
sin x.cos y - sin y.cos x = 2.cos y
sin(x - y) = 2.cos y = 0.90
sin (x - 63.43) = sin 64.16. There are 2 answers:
a. x - 63.43 = 64.16 -> x = 128 deg
b. x - 63.43 = 180 - 64.16 = 115.84-> x = 179.27
Check: