It might have helped to have some idea as to what "these" formulas" were.
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Trigonometry is helpful in many fields of geometry and a few of them are:- It helps to identify different types of triangles It helps to work out the sides and interior angles of triangles It helps to work out the properties of polygons It helps to work out the properties of a right angle triangle with Pythagoras' theorem It helps with navigating and working out distances
The formula depends on what shape you're working with. Triangles, circles, parallelograms, squares, trapezoids, ellipses, hexagons, prisms, cones, spheres, cylinders, etc. all have different formulas for their areas.
Basically it is working out the properties of triangles and angles of various polygons.
Because ALL triangles total 180o...
Yes. It's easiest to see how by working backwards. Draw a rhombus, then draw a line between two opposite corners. Poof! You have two triangles.