For the entire time that we’ve been discussing trigonometry, we’ve been talking about triangles with right angles only. With these triangles, the sin, cos, and tan functions all can be written as simple fractions.
But right triangles aren’t the only triangles that we run into in life. We run into triangles that have all acute angles, or one obtuse angle. For these things, the sin and cos functions become harder to solve, and require a different formula.
But before you go screaming in terror, you first have to see that equation itself. All you do for the sin function, for example, is this:
y
√ x2 + y2
Since the sin function is the opposite side from the angle you are considering, and the hypotenuse is equal to √(x2+y2). Then, the function is equal to y divided by √(x2+y2). The cos function is equal to the same thing as the sin function, except that instead of y, you just divide x by √(x2+y2).
Finally, the tan function is going to be the same thing, because it’s just the same thing as the regular tan function, because the tan function is just simply, y divided x.
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