Question

what is csc(1560°) and how do you solve it? I tried to put it in my calculator but I am getting the incorrect answer.

Answer 1

csc is the inverse of sin. So when you put it in your calculator its a little different. try this (1/sin(1560))inverse. and then enter

Answer 2

fisrt we need to find sin(1560) as csc(1560°) is the reciprocal of sin(1560)

Answer 3

now
sin(1560)=sin(4*360+ 120)
=sin(120)
=sin(180-60) ( u can write sin(120)=sin(90+30)=cos30)
=sin60=sqrt(3)/2
hence csc(1560°) =1/sin(1560) =2/sqrt(3)

Answer 4

Another approach:\[\text{Csc}[\text{Mod}[1560{}^{\circ},360{}^{\circ}]]=\frac{2}{\sqrt{3}} \]

Answer 5

Thank you so much, I was extremely confused , the explanations you both gave were extremely helpful.