The cable between the two towers of a power line hangs in the shape of the catenary curve
y= T/w cosh (wx/T)
where T is the tension in the cable at its lowest point and w is the weight of the cable per meter. Suppose the cable stretches between the two points x = -T/w and x= T/w. FInd a formula for the "Sag" in the cable - i.e., find the difference between the height of the cable at the highest and lowest points. Your answer should involve letters T and w, as well as a decimal number.

Question

The cable between the two towers of a power line hangs in the shape of the catenary curve 
y= T/w cosh (wx/T)
where T is the tension in the cable at its lowest point and w is the weight of the cable per meter. Suppose the cable stretches between the two points x = -T/w and x= T/w. FInd a formula for the "Sag" in the cable - i.e., find the difference between the height of the cable at the highest and lowest points. Your answer should involve letters T and w, as well as a decimal number.