we have that
csc ∅=19/18
we know that
csc ∅=1/sin ∅
so
sin ∅=1/csc ∅-----> 1/(19/18)-----> 18/19
sin ∅=18/19
sin² ∅+cos² ∅=1
cos² ∅=1-sin² ∅----> cos² ∅=1-(18/19)²----> 37/361
cos² ∅=37/361--------> cos ∅=√37/19
tan ∅=sin ∅/cos ∅-----> tan ∅=(18/19)/(√37/19)---> tan ∅=(18/37)*√37
cot ∅=1/tan ∅-----> cot ∅=√37/18
sec ∅=1/cos ∅----> sec ∅=1/(√37/19)----> sec ∅=(19/37)*√37
the answer is
1) sin ∅=18/19
2) cos ∅=√37/19
3) tan ∅=(18/37)*√37
4) cot ∅=√37/18
5) sec ∅=(19/37)*√37
