已知5sinB=sin(2A+B),求证2sin(A+B)=3tanA
人气:247 ℃ 时间:2020-06-14 13:56:12
解答
证明:5sin[(A+B)-A]=sin[A+(A+B)]
5sin(A+B)cosA-5cos(A+B)sinA=sin(A+B)cosA+cos(A+B)sinA
4sin(A+B)cosA=6cos(A+B)sinA
2sin(A+B)=3tanA请问由4sin(A+B)cosA=6cos(A+B)sinA 得出2sin(A+B)=3cos(A+B)tanAcos(A+B)为什么等于1证明:5sin[(A+B)-A]=sin[A+(A+B)] 5sin(A+B)cosA-5cos(A+B)sinA=sin(A+B)cosA+cos(A+B)sinA 4sin(A+B)cosA=6cos(A+B)sinA 2tan(A+B)=3tanA 所以应该是 2tan(A+B)=3tanA
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