better than desmos
Sine Key Points (0 to 2π): Starts at middle (0), goes up to max (1), down to middle (0), down to min (-1), and back to middle (0).
Cosine Key Points (0 to 2π): Starts at max (1), goes down to middle (0), down to min (-1), up to middle (0), and back to max (1).
Tangent Key Points (0 to 2π): Starts at 0, curves up to +∞ (asymptote at π/2). Restarts at -∞, crosses 0 at π, and curves up to +∞ (asymptote at 3π/2).
Cotangent Key Points (0 to 2π): Starts with an asymptote at 0 (coming from +∞), crosses 0 at π/2, and dives down to -∞ (asymptote at π).
Secant (Reciprocal of Cosine): Starts at 1, curves up to +∞ (asymptote at π/2). Reappears at -∞, touches -1 at π, and dives back to -∞ (asymptote at 3π/2).
Cosecant (Reciprocal of Sine): Asymptote at 0. Swoops down from +∞, touches 1 at π/2, and shoots back to +∞ (asymptote at π).