TRIGONOMETRY: "The mathematician is fascinated with the marvelous beauty of the forms he constructs, and in their beauty he finds everlasting truth."
Example:
If xcosθ - ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2.
Ans: xcosθ - y sinθ = a xsinθ + y cosθ = b Squaring and adding x2+y2=a2+b2.