# law of sines

(redirected from Sine rule)

## law of sines

[′lȯ əv ′sīnz]
(mathematics)
Given a triangle with angles A, B, and C and sides a, b, c opposite these angles respectively: sin A / a = sin B / b = sin C / c.
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To substantiate this fact we can use the fact that the inscribed angle is equal to half of the arc on which it rests or the sine rule
In the case where consideration of the problem is not feasible as a whole, then different elements of this problem and its solutions can be used for studying and repetition of the following concepts and skills: the sine rule, the cosine rule, applications of the derivative, the arithmetic mean and geometric mean, the tangent and the secant, the exterior angle of a triangle, the inscribed angle, and others (ACARA, 2012).
For a triangle of side length a, b and c and opposite angles A, B and C, the sine rule states that
This instrument consists of two copper rules of equal length, where the thicker and wider, vertical sine rule has a hole and on which is attached the smaller, horizontal versine rule (or sahm, lit.
We move the alidade until a given star is seen through both of its sights, then the sine rule is moved to touch the alidade on the point that gives the sine of the star's altitude.
Based on this length and dimensions for the rules found earlier in this text, an alidade and versine rules of 1 fg x 1 fg x 3 cb is about 14 kg each; the sine rule, with estimated 1.
There are three basic trig rules: the sine rule, cosine rule, and tangent rule.
If you know the value of the opposite and hypotenuse, you can use the sine rule to calculate the value of the angle.
Some of the above mathematics for example, involves the use of the sine rule, within which a form of an expansion like sin (A-B), together with angle theorems, need to be employed, with outcomes displayed on a spreadsheet--and contextualised within an approach associated with the solution of a real world problem, involving a practical setting.
There are three trig formulas we will use, sine rule, cosine rule, and tangent rule.
There are three basic trig rules, the sine rule, the cosine rule, and the tangent rule.
Sine rule sine of angle = opposite / hypotenuse (SOH)

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