Question

find the values of the six trigonometric functions for the angle

Answer 1

Calculate opposite side.

b=sqrt(c^2-a^2)=sqrt(3^2-1^2)=sqrt(8)

sin(θ) = opp/hyp = b/c= sqrt(8)/3

cos(θ) = adj/hyp = a/c= 1/3

tan(θ) = opp/adj = b/a= sqrt(8)/1

csc(θ) = hyp/opp = c/b= 3/sqrt(8)

sec(θ) = hyp/adj = c/a= 3/1

cot(θ) =adj /opp= a/b= 1/sqrt(8)