Trigonometric Formula Table
| Function | Formula |
|---|---|
| Sine | sin(θ) = Opposite / Hypotenuse |
| Cosine | cos(θ) = Adjacent / Hypotenuse |
| Tangent | tan(θ) = Opposite / Adjacent |
| Pythagorean Identity | sin²(θ) + cos²(θ) = 1 |
| Reciprocal Identities |
csc(θ) = 1 / sin(θ) sec(θ) = 1 / cos(θ) cot(θ) = 1 / tan(θ) |
| Angle Sum and Difference |
sin(A ± B) = sin(A)cos(B) ± cos(A)sin(B) cos(A ± B) = cos(A)cos(B) ∓ sin(A)sin(B) tan(A ± B) = (tan(A) ± tan(B)) / (1 ∓ tan(A)tan(B)) |
| Double Angle Formulas |
sin(2θ) = 2sin(θ)cos(θ) cos(2θ) = cos²(θ) - sin²(θ) tan(2θ) = 2tan(θ) / (1 - tan²(θ)) |
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