For which value of θ is tanθ equal to sinθ ?(1 point) Responses 2π 2 pi 3π2 3 pi o

Question

ver 2 π3 pi over 3 π2

Answer 1

tanθ = sinθ
tanθ - sinθ = 0
(sinθ/cosθ) - sinθ = 0
sinθ/cosθ - sinθ = 0
sinθ - sinθ * cosθ = 0
sinθ(1 - cosθ) = 0

sinθ = 0 or cosθ = 1
sinθ = 0 at θ = nπ, where n is an integer
cosθ = 1 at θ = 2πn, where n is an integer

Thus, the values of θ where tanθ = sinθ are θ = nπ and θ = 2πn.