The Fibonacci sequence is a series of numbers where a number is found by adding up the two numbers before it. Starting with 0 and 1, the sequence goes 0,1,1,2,3,5,8,13,21,34, and so forth. Written as a rule, the expression is xn= xnâˆ’1+ xnâˆ’2. Webb & Parberry proved in 1969 a startling trigonometric identity involving Fibonacci numbers. We will Provide some approves and applications of Fibonacci sequence and trigonometric functions.