### 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 |