How do you determine graphically and analytically whether #y_1=cosx/sinx# is equivalent to #y_2=cotx#? Trigonometry Graphing Trigonometric Functions Graphing Tangent, Cotangent, Secant, and Cosecant 1 Answer Dean R. Apr 23, 2018 Since #cot x = frac{cos x}{sin x}# by definition, there's no reason or meaning to graphically or analytically verifying this, so I wouldn't. Answer link Related questions How do you find the asymptotes for the cotangent function? How do you graph tangent and cotangent functions? How do you Sketch the graph of #y=-2+cot(1/3)x# over the interval #[0, 6pi]#? How do you graph #y=-3tan(x-(pi/4))# over the interval #[-pi, 2pi]#? How do you sketch a graph of #h(x)=5+frac{1}{2} \sec 4x# over the interval #[0,2pi]#? What is the amplitude, period and frequency for the function #y=-1+\frac{1}{3} \cot 2x#? How do you graph #y = 3 sec(2x)#? How do you graph #y=tan(2x+pi/4)#? What is the domain of #y = tan(x) + 2#? How do you graph #csc(x-pi/2)#? See all questions in Graphing Tangent, Cotangent, Secant, and Cosecant Impact of this question 1250 views around the world You can reuse this answer Creative Commons License