using  maclaurin series for tan(x) and equation for length of cable to prove that x=

tan(?)=?+(1/3)?^3
wrapping a cable around the earth once then adding one metre to the cable (radius is R=6378km)
Find two expressions for the length of the cable. Use these together with your Maclaurin polynomial for tan(?) to show that (.003/2R)^(1/3)
• I really don't understand the question. Can you rephrase it?

• Sanguine12343214: Your question is very unclear. Are you taking about the following problem? "You are standing on the equator and you have a string around the equator that is the length of the equator + 1 meter. What is the maximum height you can lift the string off the ground?"

• Even if that were the case, I still don't see what does it have to do with the Maclaurin series of the tangent.

• the exact wording of the question is find two expressions for the length of the cable use together with your maclaurin polynomial for tan(x) to show that x=(.003/2R)^(1/3) i was given a diagram that is supposed to help me but i am unsure on how to post it on this and the height of the string of the ground was a different part of the question

• https://imgur.com/a/9yltwqi this is the diagram