第二问求解!!
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c = 3b
a = √7c/3 = √7b
cosB = (a² + c² - b²)/(2ac) = (7b² + 9b² - b²)/(6√7b²) = 5√7/(14)
sinB = √(1 - cos²B) = √21/14
tanB = (√21/14)/[5√7/14] = √3/5
cosC = (a² + b² - c²)/(2ab) = (7b² + b² - 9b²)/(2√7b²) = -√7/(14)
sinC = √(1 - cos²C) = 3√21/14
tanC = (3√21/14)/[-√7/(14)] = -3√3
tanB + tanC = √3/5 - 3√3 = -14√3/5
a = √7c/3 = √7b
cosB = (a² + c² - b²)/(2ac) = (7b² + 9b² - b²)/(6√7b²) = 5√7/(14)
sinB = √(1 - cos²B) = √21/14
tanB = (√21/14)/[5√7/14] = √3/5
cosC = (a² + b² - c²)/(2ab) = (7b² + b² - 9b²)/(2√7b²) = -√7/(14)
sinC = √(1 - cos²C) = 3√21/14
tanC = (3√21/14)/[-√7/(14)] = -3√3
tanB + tanC = √3/5 - 3√3 = -14√3/5
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