Sketch a right triangle corresponding to the trigonometric function of the acute angle θ. Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of θ.

cot(θ) = 3

sin(θ)=
cos(θ)=
tan(θ)=
csc(θ)=
sec(θ)=

3 answers

Over to you Oobleck : )
recall that
tanθ = 1/cotθ
sec^2θ = 1 + tan^2θ
csc^2θ = 1 + cot^2θ
sinθ = 1/cscθ
cosθ = 1/secθ

Or, just draw a right triangle with ABC with B=90°
Then AB=3, BC=1
now figure the hypotenuse, and just read off the trig functions from the triangle.
thank you guys