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已知tan(a+6π/5)=m(m≠1),求[sin(11π/5+a)+3cos(a-9π/5)]/[sin(14π/5-a)+cos(a+16π/5)]的值.
人气:312 ℃ 时间:2020-09-06 10:46:43
解答
tan(a+6π/5)=m则tan(a+π/5)=m[sin(π/5+a)+3cos(a+π/5)]/[sin(-π/5-a)-cos(a+π/5)]=[sin(π/5+a)+3cos(a+π/5)]/[-sin(π/5+a)-cos(a+π/5)]上下除以cos(a+π/5)且sin(a+π/5)/cos(a+π/5)=tan(a+6π/5)所以原...
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