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

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 .Solutionpoint is

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