Question

demostrar que: $\frac{1}{sin10} - \frac{\sqrt{3} }{cos10} = 4$

Answer 1

Respuesta:

Explicación paso a paso:

$\frac{1}{Sen10}-\frac{\sqrt{3}}{Cos10}=4\\\frac{Cos10-\sqrt{3}Sen10}{Sen10Cos10}=4\\\frac{\frac{1}{2} (Cos10-\sqrt{3}Sen10)}{\frac{1}{2}Sen10Cos10}=4\\\frac{\frac{1}{2}Cos10-\frac{\sqrt{3}}{2}Sen10}{\frac{1}{2}Sen10Cos10}=4\\\frac{Sen30Cos10-Cos30Sen10}{\frac{1}{2}Sen10Cos10}=4\\\frac{Sen(30-10)}{\frac{1}{2}Sen10Cos10}=4\\\frac{Sen20}{\frac{1}{2}Sen10Cos10}=4\\\frac{4Sen20}{4(\frac{1}{2}Sen10Cos10)}=4\\\frac{4Sen20}{2Sen10Cos10}=4\\\frac{4Sen20}{Sen20}=4\\4.1=4\\4=4$