懂的来.1.求值:tan72° tan42° (根号3/3)tan72°tan42°=

1个回答

  • 让我来.

    1.是不是打错了,做出来有点不对.

    2.tan(α+β)= (tanα + tanβ)/(1 - tanαtanβ) = -1

    所以α+β=135 或 315 有因为都是锐角 所以α+β= 135

    3.设x+10°=A y=sinA + cos(A+30) = sinA + cosAcos30 - sinAsin30 = cos(A-30) = cos(x - 20)

    cosx最小值为-1 所以 x -π/9 = +-kπ (k = 整数) x = + - kπ +π/9

    4.f(x) =根号3sinx+cosx = 2((根号3)/2sinx+1/2cosx) = 2sin (x + 30) 所以π/6-π/2 = -π/3 π/2 +π/6 = 2π/3 -1《f(x)《 1