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2題(sine and cosine formula)

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1 Solve the triangle PQR with p=32,q=49 ,角P=36 (there are two possible set of solution) 2 In 三 角形XYZ ,y=7,z=11 and 角Z=48.Find 角Y

最佳解答:

1Solve the triangle PQR with p=32,q=49 ,∠P=36o (there are two possible set of solution) sin∠Q/q =sin∠P /p sin∠Q/49 =sin36o /32 sin∠Q=(49sin36o)/32 ∠Q=64.2o or ∠Q=115.8o ∠R=180o-64.2o-36o or ∠R=180o-115.8o-36o ∠R=79.8o or ∠R=28.2o r/sin∠R =p/sin∠Po r/sin79.8o=32/sin36o or r/sin28.2o =32/sin36o r=53.6 or r=25.7 2 In △XYZ ,y=7,z=11 and ∠Z=48o.Find ∠Y sin∠Y/ y = sin∠Z /z sin∠Y/ 7 = sin48o /11 sin∠Y=(7sin48o )/11 Y=28.2o or 151.8o 2009-05-21 16:40:38 補充: 151.8度(reject)

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