Find the missing length of a triangle using trig functions without a calculator

The video tutorial explains the properties of 45-45-90 triangles, focusing on the relationship between the hypotenuse and the adjacent side. It covers how to rationalize the denominator when calculating side lengths and demonstrates the use of trigonometric functions, specifically cosine, to find side lengths. The tutorial emphasizes understanding these concepts without relying on calculators, using a unit triangle to explain the cosine of 45 degrees.

Explain how to solve for X in the equation 15 sqrt 2 = X.

Why might not using technology be beneficial in solving trigonometric problems?