Transcription of 4.6 The sine rule and cosine rule - mathcentre.ac.uk
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4.6 The sine rule and cosine rule - mathcentre.ac.uk
sine rule and cosine ruleIntroductionTosolvea triangle is to find the lengths of each of its sides and all itsangles. Thesine ruleis used when we are given either a) two angles and one side, or b) two sides and a non-includedangle. Thecosine ruleis used when we are given either a) three sides or b) two sides and theincluded The sine ruleStudy the triangleABCshown below. LetBstands for the angle atB. LetCstand for theangle atCand so on. Also, letb=AC,a=BCandc= sine rule:asinA=bsinB=csinCExampleIn triangleABC,B= 21 ,C= 46 andAB= 9cm. Solve this are given two angles and one side and so the sine rule can be used. Furthermore, sincethe angles in any triangle must add up to 180 then angleAmust be 113 . We know thatc=AB= 9. Using the sine ruleasin 113 =bsin 21 =9sin 46 So,bsin 21 =9sin 46 from whichb= sin 21 9sin 46 = (3dp)Similarlya= sin 113 9sin 46 = (3dp) Pearson Education Ltd20002.
The sine rule and cosine rule Introduction To solve a triangle is to find the lengths of each of its sides and all its angles. The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle. The cosine rule is used when we are given either a) three sides or b) two sides and the included ...
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