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Site Last Updated 04/06/2009
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This page will cover the trigonometric formulas and identities used in this site.
Formulas used in this site (refer to the figure below):
- h2 = x2+y2
- 90° = θ°+ß° (Note: 90° is Φ° on the figure below)
- h2 = x2+y2 - [2 × x × y × (Cosine Φ°)]
- Angle θ° = arctangent (tangent θ) × (180 / π)
- Angle ß° = arctangent (tangent ß) × (180 / π)
- Angle Φ° = 90°
- To Convert Degrees to Radians: Radians = Degrees × (π / 180;)
- To Convert Radians to Degrees: Degrees = Radians × (180 / π)
Where π ≈
(i.e., PI)
| Formulas for Negative Angles: |
| sin (− θ ) |
= |
− sin θ |
| cos (− θ ) |
= |
cos θ |
| tan (− θ ) |
= |
− tan θ |
| cot (− θ ) |
= |
− cot θ |
| sec (− θ ) |
= |
sec θ |
| csc (− θ ) |
= |
− csc θ |
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| Fundamental Identities: |
| 1 |
= |
sin½θ+cos½θ |
| tan θ |
= |
sin θ/cos θ |
| cot θ |
= |
cos θ/sin θ |
| sec θ |
= |
1/cos θ |
| csc θ |
= |
1/sin θ |
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