Trigonometric Triangle Equations Table Chart - Engineers Edge
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Triangle (Trigonometry) Solutions Calculators
The sides of the right-angled triangle are designated a and b and the hypotenuse, c. The angles opposite each of these sides are designated A and B, respectively. Angle C, opposite the hypotenuse c is the right angle, and is therefore always one of the known quantities. | |||
| Sides and Angles Known | Formulas for Sides and Angles to be Found | ||
| Side a, side b |  | tan A = a/b | B = 90° − A |
| Side a, hypotenuse c |  | sin A = a/c | B = 90° − A |
| Side b, hypotenuse c |  | sin B = b/c | A = 90° − B |
| Hypotenuse c, angle B | b = c × sin B | a = c × cos B | A = 90° − B |
| Hypotenuse c, angle A | b = c × cos A | a = c × sin A | B = 90° − A |
| Side b, angle B |  | a = b × cot B | A = 90° − B |
| Side b, angle A |  | a = b × tan A | B = 90° − A |
| Side a, angle B |  | b = a × tan B | A = 90° − B |
| Side a, angle A |  | b = a × cot A | B = 90° − A |
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