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Mathematics Menu | Engineering Calculators
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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