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law of cosines
(redirected from Cosine rule)

    Also found in: Wikipedia 0.01 sec.

law of cosines

Generalization of the Pythagorean theorem relating the lengths of the sides of any triangle. If a, b, and c are the lengths of the sides and C is the angle opposite side c, then c2 = a2 + b2 − 2ab cos C.

law of cosines [′lȯ əv ′kō‚sīnz]
(mathematics)
Given a triangle with anglesA, B,andCand sidesa, b, copposite these angles respectively:a2=b2+c2- 2bccosA.
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Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).
Math's Syllabus for IIT JEE by Vanya Tiwari / Science and technology, general community
SINE RULE sine of angle = opposite / hypotenuse (SOH) COSINE RULE cosine of angle = adjacent / hypotenuse (CAH) TANGENT RULE tangent of angle = opposite / adjacent (TOA) Recall that the opposite, adjacent, and hypotenuse are lengths of specific sides of the triangle.
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There are three trig formulas we will use, sine rule, cosine rule, and tangent rule.
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