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The Helpful Hexagon!
http://www.texample.net/tikz/examples/trigonometric-hexagon/
1. The two trig functions at the end of any diameter are reciprocals of each other. These are
known as the Reciprocal Identities, can you list all 6:
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2. The trig function between any two trig functions is the product of these two functions.
(Examples: tanxcosx=sinx, tanxcotx=1.) These are called Product Identities, can you list
8 of these identities?
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3. Every trig function is equal to either of its adjacent trig function divided by its adjacent
trig function. (Example: tanx=sinx/cosx or tanx=secx/cscx) These are known as the
Quotient Identities, can you list all 8 of them?
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4. For the three shaded triangles: the upper left function squared plus the upper right
function squared equals the bottom function squared. These are the Pythagorean
Identities, can you list all 3?
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