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a为第二象限角,P(x,根号5)为其终边上一点,cosa=根号2乘1/4乘x,求sina和tana.
人气:108 ℃ 时间:2020-03-25 10:32:32
解答
tana = √5/x
sina = √5/√(x² + 5)
cosa = (√2)x/4
tana = sina/cosa
√5/x = [√5/√(x² + 5)]/[(√2)x/4]
x = ±√3
a为第二象限角,x < 0,x = -√3
sina = (√10)/4
tana = √5/(-√3) = -(√15)/3
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