Suppose the terminal side of when plotted in standard posit

Suppose the terminal side of , when plotted in standard position, contains the point Q(3, 1). Find the values of the six circular functions of .

tan theta=1/3

here opposite=1 and adjacent=3

therefore hypotenuse=sqrt(1^2 + 3^2)=sqrt 10

sin theta= opposite/hypotenuse= 1/sqrt10=sqrt10/10

cos theta= adjacent / hypotenuse=3/sqrt10=3sqrt10/10

sec theta=1/cos theta= sqrt10/3

cosec theta=1/sin theta= sqrt10

cot theta=1/tan theta= 3/1