Question

cos 60°- cos 30° / sen 30°

Answer 1

Respuesta:

sen30 - tan60

Explicación:

triangulo:

      /|

    /  |         sen 30 = b/c = cos 60

c /    | a      cos 30 = a/c

/___|        

   b

cos 60°- cos 30° / sen 30° = (sen30cos60 - cos30)/sen30

$= \frac{(\frac{b}{c} )(\frac{b}{c}) - \frac{a}{c} }{\frac{b}{c}}  =  \frac{\frac{b^{2}}{c^{2}}  - \frac{a}{c} }{\frac{b}{c}}  =  \frac{\frac{b^{2} - ac}{c^{2}} }{\frac{b}{c}}\\por\ ley\ de\ Sandwich\\\frac{b^{2} - ac}{bc} = \frac{b^{2}}{bc} - \frac{ac}{bc} = \frac{b}{c} - \frac{a}{b} =\\sen30 - tan60$