Can you find cost of equity on the balance sheet?
No. Cost of equity does not appear on the balance sheet or any other financial statement. It is a market-based estimate of what shareholders require, built from interest rates, risk and stock prices. The balance sheet shows book equity, which is a dollar amount rather than a rate.
The statements still help. The balance sheet gives book values of debt and equity, which some people use for WACC weights, though market values are usually preferred. The income statement shows net income and interest expense, which feed return on equity and a rough cost of debt.
For the rate itself you need outside inputs: a Treasury yield for the risk-free rate, a beta and an equity risk premium. The Excel guide shows how to pull these together, or plug them into the calculator. Also see whether cost of equity is the same as return on equity.