The trigonometry table can reveal a number of patterns that sometimes get hidden in calculator only use.
PATTERN #1 – Identical Sine and Cosine Values
If you look at the trigonometry table to the right you see that every sine value has a matching value for cosine.
Why would that happen?
Let’s look at the pattern closer….
Sin 5° = Cos 85°
Sin 10° = Cos 80°
Sin 23° = Cos 67°
Sin 33° = Cos 57°
Sin 45° = Cos 45°
We see that if the two angles are complementary then this relationship works:
But why does that work?