If sin θ = -square root3/2 and π < θ < 3pi/2 , what are the values of cos θ and tan θ

π < θ < 3pi/2, so θ ∈ 3 quadrant,
so cosθ<0, tg θ>0

we know that sin²θ+cos²θ=1

cosθ=-√(1-sin²θ)=-√1-²=-√(1-=- √0.25=- 0.5
tgθ==  - =√3

P.s. θ=, i can't put θ in formula, sorry

Ibelieve the answer would be 7, 13, 23