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Apuntes

``` Recordar: $$\arctan(x) + \arctan(y) = \arctan\left(\frac{x + y}{1 - xy}\right),$$ $$\arctan(x) - \arctan(y) = \arctan\left(\frac{x - y}{1 + xy}\right)$$ --- (15) \quad \tan 2x = \frac{2 \tan x}{1 - \tan^2 x} (16) \quad \cot 2x = \frac{\cot x - \tan x}{2} • Funciones Trigonométricas del Ángulo Triple (17) \quad \sen 3x = 3 \sen x - 4 \sen^3 x (18) \quad \cos 3x = 4 \cos^3 x - 3 \cos x (19) \quad \tan 3x = \frac{3 \tan x - \tan^3 x}{1 - 3 \tan^2 x} • Relaciones Fundamentales entre las Funciones (20) \quad \sen x = \frac{1}{\csc x} (21) \quad \cos x = \frac{1}{\sec x} (22) \quad \tan x = \frac{\sen x}{\cos x} (23) \quad \tan x = \frac{1}{\cot x} (24) \quad \csc x = \frac{1}{\sen x} (25) \quad \sec x = \frac{1}{\cos x} (26) \quad \cot x = \frac{1}{\tan x} (27) \quad \cot x = \frac{\cos x}{\sen x} (28) \quad \sen^2 x + \cos^2 x = 1 (29) \quad \sen^2 x = 1 - \cos^2 x (30) \quad \sen x = \sqrt{1 - \cos^2 x} (31) \quad \cos^2 x = 1 - \sen^2 x (32) \quad \cos x = \sqrt{1 - \sen^2 x} (33) \quad \sec^2 x = 1 + \tan^2 x (34) \quad \tan^2 x = \sec^2 x - 1 (35) \quad \sec x = \sqrt{1 + \tan^2 x} (36) \quad \tan x = \sqrt{\sec^2 x - 1} (37) \quad \csc^2 x = 1 + \cot^...