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# If ##csc theta=4/3##, what is the sin, cos, tan, sec, and cot?

If ##csctheta=4/3## then ##sintheta =3/4## also ##sintheta=a/c##, therefore, ##a=3, c=4## using **Pythagorean theorem** ##b=sqrt7.##

##costheta = b/c=sqrt7/4##

##tantheta=3/sqrt7=(3sqrt7)/7##

##sectheta=c/b=4/sqrt7=(4sqrt7)/7##

##cottheta= b/a = sqrt7/3##