Trigonometric functions

Sine function f(x) = \sin x The sine function sin(x): its graph, domain, range, period, key values, derivative cos(x), integral and the mistakes students make with it. Cosine function f(x) = \cos x The cosine function cos(x): its graph, domain, range, period, key values, derivative −sin(x), integral sin(x) + C and common mistakes. Tangent function f(x) = \tan x = \frac{\sin x}{\cos x} The tangent function tan(x) = sin(x)/cos(x): its graph, vertical asymptotes, period π, derivative sec²(x), integral ln|sec x| + C and examples. Secant, cosecant and cotangent \sec x = \frac{1}{\cos x}, \quad \csc x = \frac{1}{\sin x}, \quad \cot x = \frac{\cos x}{\sin x} The reciprocal trig functions sec x, csc x and cot x: definitions, graphs, asymptotes, all three derivatives and integrals, with worked examples.