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Fundamental identities formulas
7 formulas for Fundamental identities, from the Trigonometry section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Pythagorean | sin²θ + cos²θ = 1 | |
| Pythagorean (sec) | 1 + tan²θ = sec²θ | |
| Pythagorean (cosec) | 1 + cot²θ = cosec²θ | |
| sec + tan | sec θ + tan θ = 1 / (sec θ − tan θ) | |
| cosec + cot | cosec θ + cot θ = 1 / (cosec θ − cot θ) | |
| Even / odd | sin(−θ) = −sin θ; cos(−θ) = cos θ; tan(−θ) = −tan θ | |
| Sign by quadrant | All (I), Sin (II), Tan (III), Cos (IV) positive | 'All Students Take Coffee' |
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