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It depends upon what you already know.

If you know only two side lengths, neither rule is useful - you need to know at least one angle.

If you are trying to discover the length of the third side, use the cosine rule.

If you are trying to discover the other two angles, then use the sine rule. However, if the known angle is between the two known sides, the cosine rule will have to be used first to find the third side; then the sine rule can be used.

If you know two of the angles, you can calculate the third (if necessary) and use either rule to calculate the third side.

It depends on which two sides you are working with.

You use sine when working with the opposite and the adjacent sides.

You use cosine when working with the adjacent and the hypotenuse sides.

(You can remember this by the very silly little rhyme: Silly old Hitler caught awful headaches throughout our air-raids! The first letter of each word is: SOHCAHTOA which helps you remember. For example, the SOH means Sine = Opposite & Adjacent etc..)

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Q: Would you use the sine or cosine rule when only having two sides of the triangle?
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