Trigonometria equacao

por Ronaldo Miguel Qui 2 Mar - 12:44

Calcule sinh^-1 x= ln(2-x)

por **Giovana Martins** Qui 15 Nov - 11:35

\\C.E.:\ 2-x>0\to 2>x\to x<2\\\\arcsenh(x)=ln(2-x)\to ln\left ( x+\sqrt{x^2+1} \right )=ln(2-x)\\\\ln\left ( \frac{x+\sqrt{x^2+1}}{2-x} \right )=0\to \frac{x+\sqrt{x^2+1}}{2-x}=1\to x+\sqrt{x^2+1}=2-x\\\\\sqrt{x^2+1}=2-2x\to x^2+1=(2-2x)^2\to x=\frac{4\pm \sqrt{7}}{3}\ \\\\x<2\ \therefore \ x=\frac{4-\sqrt{7}}{3}\ \therefore \ \boxed {S=\left \{ \frac{4-\sqrt{7}}{3} \right \}}

Trigonometria equacao

Trigonometria equacao

Re: Trigonometria equacao

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