Question

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) = 9

Answer 1

cot(θ) = 9
or
tan(θ) = 1/9
recall that tan θ = opposite/adjacent
so draw a right-angled triangle with opposite 1 and adjacent 9
find the hypotenuse h
h^2 = 1^2 + 9^2 = 82
h = √82

sin θ = 1/√82 , cscθ = √82
cosθ = 9/√82 , secθ = √82/9
tanθ = 1/9 , cotθ = 9

Answer 2

thanks reiny