Question

SQRT(5cos(arctg(0.75)))

Answer 1

$\sqrt{5cos(arctan(0,75))} = \sqrt{5cos(arctan( \frac{3}{4} ))} = \sqrt{5* \frac{1}{ \sqrt{1+ (\frac{3}{4})^{2} } } } =$$\sqrt{\frac{5}{ \sqrt{1+ (\frac{3}{4})^{2} } } } = \sqrt{\frac{5}{ \sqrt{1+ \frac{9}{16} } } } = \sqrt{\frac{5}{ \sqrt{ \frac{25}{16} } } } =$$\sqrt{\frac{5}{ \frac{5}{4} } } = \sqrt{4} = 2$