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sin(x) Opposite / Hypotenuse cos(x) Adjacent / Hypotenuse tan(x) Opposite / Adjacent csc(x) Hypotenuse / Opposite sec(x) Hypotenuse / Adjacent cot(x) Adjacent / Opposite Sine The Y Coordinate Cosine The X Coordinate sin(x) 1 / (csc x) csc(x) 1 / (sin x) cos(x) 1 / (sec x) sec(x) 1 / (cos x) tan(x) 1 / (cot x) cot(x) 1 / (tan x) tan(x) sin x / cos x cot(x) cos x / sin x 1 sin^2 x + cos^2 x sec^2 x 1 + tan^2 x csc^2 x 1 + cot^2 x cos x sin(π/2 - x) sin x cos(π/2 - x) cot x tan(π/2 - x) tan x cot(π/2 - x) csc x sec(π/2 - x) sec x csc(π/2 - x) sin(-x) -sin(x) cos(-x) cos(x) tan(-x) -tan(x) cot(-x) -cot(x) sec(-x) sec(x) csc(-x) -csc(x) 0°, 360° 2π (1,0) 30° π/6 (√3/2, 1/2) 45° π/4 (√2/2, √2/2) 60° π/3 (1/2, √3/2) 90° π/2 (0,1) 120° 2π/3 (-1/2, √3/2) 135° 3π/4 (-√2/2, √2/2) 150° 5π/6 (-√3/2, 1/2) 180° π (-1, 0) 210° 7π/6 (-√3/2, -1/2) 225° 5π/4 (-√2/2, -√2/2) 240° 4π/3 (-1/2, √3/2) 270° 3π/2 (0, -1) 300° 5π/3 (1/2, -√3/2) 315° 7π/4 (√2/2, -√2/2) 330° 11π/6 (√3/2, -1/2) sin^-1(x) (-1 ≤ x ≤ 1) & (-π/2 ≤ y ≤ π/2) cos^-1(x) (-1 ≤ x ≤ 1) & (0 ≤ y ≤ π) tan^-1(x) (∞ ≤ x ≤ ∞) & (-π/2 < y < π/2) sin^-1(sin(x))=x -π/2 ≤ y ≤ π/2 sin(sin^-1(x))=x -1 ≤ x ≤ 1 cos^-1(cos(x))=x 0 ≤ y ≤ π cos(cos^-1(x))=x -1 ≤ x ≤ 1 tan^-1(tan(x))=x -π/2 < y < π/2 tan(tan^-1(x))=x ∞ ≤ x ≤ ∞