solve problem

Question

Given the function value and quadrant restriction, find θ 

 

csc θ= -1.4663, interval (270º 360º)

Answer 1

cscθ is the reciprocal of sinθ.

 

So, if cscθ = -1.4663, then sinθ = 1/(-1.4663) = -0.6820

 

Sin^-1(0.6820) = 43°

 

θ lies in quadrant 4

 

Therefore, θ = 360° - 43° = 317°