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 .
Solution
point is (3,1)
therefore tan theta= 1/3
here adjacent=3 and opposite=1
therefore hypotenuse= sqrt(1+9)=sqrt10
cot theta=1/tan theta=3/1
sin theta=opposite/hypotenuse= 1/sqrt10=sqrt10/10
cos theta= adjacent/hypotenuse= 3/sqrt 10= 3sqrt10/10
csc theta=1/sin theta= sqrt 10
sec theta=1/cos theta= sqrt10/3
