Answer:
Step-by-step explanation:
hello : the equation is : √3 sinθ= -3 cosθ means :
sinθ/cosθ = -3/√3
sinθ/cosθ = - √3 because : 3 =√3 ×√3
but : sinθ/cosθ = tan θ
tan θ = - √3 and - √3 = tan( π - π/3) = tan(2 π/3)
you have : tan θ = tan(2 π/3)
note : tanx=tany means : x= y + k π ... k in Z
so : all solutions in R are θ = 2 π/3+k π ... k in Z
