Question

Dado cos x = 1/5, 0° Calcule:
a) sen x
b) tg x
c) cotg x
d) sec x
e) cossec x
ME AJUDEM, com as formulas !

Answer 1

     a)
                   $sen^2x + cos^2x = 1 \\ \\ sen^2x = 1 -( \frac{1}{5} )^2 \\ \\ sen^2x = \frac{25}{25} - \frac{1}{25} \\ \\ senx=\sqrt{ \frac{24}{25} } \\ \\ senx= \frac{2 \sqrt{6} }{5}$

     b)
                   $tagx= \frac{sens}{cosx} = \frac{ \frac{2 \sqrt{6} }{5} }{ \frac{1}{5} } =2 \sqrt{6}$

     c)
                   $ctgx = \frac{1}{tagx} = \frac{1}{2 \sqrt{6} } = \frac{ \sqrt{6} }{12}$

     d)
                   $secx = \frac{1}{cosx} = \frac{1}{ \frac{1}{5} } =5$

     e)
                  $cscx= \frac{1}{senx} = \frac{1}{ \frac{2 \sqrt{6} }{5} } = \frac{5}{2 \sqrt{6} } = \frac{5 \sqrt{6} }{12}$