The Super Hexagon For all Trigonometric Formulae.

Many of us don’t love maths. Especially trigonometry. There are lots of formulae in trigonometry. Memorising them is a hard task for many. But can we memorise them just by keeping a hexagon in our mind? The answer is Yes! The Super Hexagon is the answer. But how…? Let’s see it.

• tan(x) = sin(x) / cos(x)
• sin(x) = cos(x) / cot(x)
• cos(x) = cot(x) / csc(x)
• cot(x) = csc(x) / sec(x)
• csc(x) = sec(x) / tan(x)
• sec(x) = tan(x) / sin(x)

By going Anticlockwise, we get:

• cos(x) = sin(x) / tan(x)
• sin(x) = tan(x) / sec(x)
• tan(x) = sec(x) / csc(x)
• sec(x) = csc(x) / cot(x)
• csc(x) = cot(x) / cos(x)
• cot(x) = cos(x) / sin(x)

If a function is between any two functions then it’s equal to them multiplied together.

If they are opposite, there’s 1 between them

We also get the “Reciprocal Identities”, by going “through the 1”

The hexagon can help us remember that, too, by going clockwise around any of these three triangles:

You get to learn all formulae from this hexagon. That’s why its called Super Hexagon

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Originally published at https://rutujblog.blogspot.com on April 18, 2021.