FIBONOMETRY I
Several well-known trigonometric formulas are intimately tied with Fibonacci and Lucas numbers via the trigonometric functions.
For example, a number of interesting relationships exist linking Fibonacci and Lucas numbers with the inverse tangent function 
, and the ubiquitous irrational number 
:
26.1 GOLDEN RATIO AND INVERSE TRIGONOMETRIC FUNCTIONS
Several interesting relationships link the golden ratio with inverse trigonometric functions.
Since 
for 
, it follows that 
. Likewise, 
.
Suppose 
. Then , so . Since , it follows that , and . Then . In addition, . Br. L. Raphael of ...
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