Find the values of the trigonometric functions of theta from

Find the values of the trigonometric functions of theta from the information given. cot(theta) = 1/2., sin (theta)

cot theta=1/2

adjacent=1 and opposite=2

hypotenuse=sqrt(1+4)=sqrt5

sin theta is negative it means theta is in third quadrant and in third quadrant cosine is negative too

sin theta=opposite/hypotenuse=-2/sqrt5

cos theta=adjacent/hypotenuse=-1/sqrt5

tan theta=1/cot theta=2

sec theta=1/cos theta=-sqrt5

csc theta=1/sin theta=-sqrt5/2