Looking to sharpen your knowledge of the golden ratio?
If you have some experience with compass/ruler constructions try this-
Determine the trigonometric values of angles such as 18, 36, 54, and 72 degreees.
Express them in terms of the Golden Ratio and also express them in their simplest radical form.
Hint: You will find these angles in a regular pentagon. You will need to rigorously construct a pentagon. If you havn't done so - try some simpler constructions first.
Arm yourself with a true understanding of the Pythagorean Theorem. Know some basic algebra so you can simplify expressions.
-Dan
If you have some experience with compass/ruler constructions try this-
Determine the trigonometric values of angles such as 18, 36, 54, and 72 degreees.
Express them in terms of the Golden Ratio and also express them in their simplest radical form.
Hint: You will find these angles in a regular pentagon. You will need to rigorously construct a pentagon. If you havn't done so - try some simpler constructions first.
Arm yourself with a true understanding of the Pythagorean Theorem. Know some basic algebra so you can simplify expressions.
-Dan
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Re: Trigonometry and the Golden Ratio
Thu, April 13, 2006 - 2:24 AMHi
Could you reccommend a good source to learn trigonometry?
thanks,
Danny
