If csc θ = 5 , what is the measure of the angle θ?

2 answers

csc θ = 5
so
1 / sin θ = 5
so
sin θ = 1/5
so
θ = 11.54 degrees
Or....

since sin θ = +1/5, θ could be in quadrants I or II
θ = 11.54· or 168.46°