已知cos(x+30°)=5/13,x为锐角,求cosx
人气:251 ℃ 时间:2020-06-19 06:34:09
解答
cos(x+30°)=5/13,x为锐角,
所以sin(x+30°) = 12/13
cosx = cos[(x+30) - 30]
= cos(x+30)cos30 + sin(x+30)sin30
= 5/13*√3/2 + 12/13*1/2
= (5√3 +12)/26
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