Question

Sinx + 2cosx = 0 where 0<=x<=2pi, what can x be equal to?

Answer 1

sin x + 2 cos x = 0
sin x = - 2 cos x / : cos x ( we will divide both sides by cos x )
sin x / cos x = - 2
tan x = - 2
x = tan^(-1) ( - 2 )
Answer:
x = - 63.6 ° = - 63° 36 `
or x = 296° 24 `