What are the three components of the Formula Triangle?

In basic triangle trigonometry, we look at three trigonometric functions: sine, cosine and tangent (sin, cos and tan) with right triangles.

Trigonometry formulas triangles

Let us start by naming the parts of this triangle.

θ is one of the angles of the right triangle (but not the right angle!)

h is the hypotenuse - the longest side of the right triangle

o is opposite to the angle

a is adjacent to the angle

The three formulas to rememeber can be summed up in one acronym:

SOH CAH TOA

where s stands for sine, c for cosine and t for tangent.

The three formulas are written below:

Explanation:

the lake is the bhopal lake

first, the romans stayed isolated because they had to defend their own territories from neighboring cities that were harassing them, like the etruscans. second, once the romans managed to defeat their neighbors, and started to expand their territory, they started to build roads and bridges. finally, now that the romans have covered their territory with roads functioning as highways, they could mobilize their legions faster to assemble larger military units in a specific place.