Trigonometry ... is all abouttriangles. |
Trigonometry helps us find angles and distances, and is used a lot in science, engineering, video games, and more!
Right-Angled Triangle
The triangle of most interest is the right-angled triangle. The right angle is shown by the little box in the corner:
Another angle is often labeled θ, and the three sides are then called:
- Adjacent: adjacent (next to) the angle θ
- Opposite: opposite the angle θ
- and the longest side is the Hypotenuse
Why?
Why is this triangle so important?Imagine we can measure along and up but want to know the direct distance and angle:
And trigonometry gives the answers!
Sine, Cosine and Tangent
The main functions in trigonometry are Sine, Cosine and Tangent
They are simply one side of a right-angled triangle divided by another.
For any angle "θ":
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