5sinB=sin(2A+B) 求证2tan(A+B)=3tanA
人气:170 ℃ 时间:2020-04-14 12:07:26
解答
原式可以写成:
5sin[(A + B) - A] = sin[(A + B) + A]
左边 = 5sin(A + B)cosA - 5cos(A + B)sinA
右边 = sin(A + B)cosA + cos(A + B)sinA ,移项得:
4sin(A + B)cosA = 6cos(A + B)sinA
两边除以 2cosAcos(A + B) 即得:
2tan(A+B)=3tanA
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