## Leonhard Euler

# How to Bake Functions from Scratch?

In physics, to find how a pendulum behaves the equation T(1 - cosx) - x being the angle between the equilibrium position and the rod, and T being the length of the string- is used. However, to help the students solve problems without their calculators, their teacher shows them another equation that looks like and substitutes cosx with . When we plot both functions, they do resemble each other for small angles near zero but how can we even think to find these approximations?

In physics, to find how a pendulum behaves the equation T(1 - cosx) - x being the angle between the equilibrium position and the rod, and T being the length of the string- is used. However, to help the students solve problems without their calculators, their teacher shows them another equation that looks like and substitutes cosx with . When we plot both functions, they do resemble each other for small angles near zero but how can we even think to find these approximations?