Cotangent Function: cot () Adjacent / Opposite.
Secant Function: sec () Hypotenuse / Adjacent. In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Other Functions (Cotangent, Secant, Cosecant) Similar to Sine, Cosine and Tangent, there are three other trigonometric functions which are made by dividing one side by another: Cosecant Function: csc () Hypotenuse / Opposite. If you try to do this with a unique triangle (one without two possible sets of angles and sides) your given angle and the obtuse angle you find will add up to more than 180, and so if you try to find a third angle to go with the obtuse one, your subtraction will tell you the third angle is negative, at which point you know you're going down a nonsensical mathematical road, and there weren't two possible triangles to begin with. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). And you find the obtuse one by subtracting the acute one from 180. It all comes from knowing that there are two angles, one obtuse and one acute, for every sine value. If you use the given angle-side pair (C and c) you will be less likely to incur error from your own rounding of angle A:īut if you know that supplementary angles share a sine value, you know that A can also be an obtuse angle with the same sine as 47.6924:Īnd again, subtract 31 (C) and the obtuse angle A from 180 to find the other possible third angle (B=16.6924) and use the Law of Sines to find the other possible third side, again using angle C and side c to avoid errors from rounding: There are various topics that are included in the entire cos concept. The cosine function is one of the three main primary trigonometric functions and it is itself the complement of sine (co+sine). Subtract 31 (C) and this angle (A) from 180 to find the third angle (B=101.3076) and use the Law of Sines again to find the third side. The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse. Use the Law of Sines to get one possible angle A:
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