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数学
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sin2x=2分之一,求sinx的值
人气:379 ℃ 时间:2020-05-28 16:55:22
解答
sin2x=1/2,所以2x=30°或150°
则 x=15°或75°
sin15°
=sin(45°-30°)
=(1/2)√2 x(1/2)√3-(1/2)√2 x(1/2)
=(1/4)(√6 -√2)
sin75°
=sin(45°+30°)
=(1/2)√2 x(1/2)√3+(1/2)√2 x(1/2)
=(1/4)(√6 +√2)
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