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$