Question

Necesito ayuda con este problema de razones trigonometricas de ángulos agudos
Triángulos rectángulos notables​

Answer 1

Explicación paso a paso:

$\tan( \alpha ) = \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \frac{2 \times \sin(45) + \frac{1}{ \cos(45) } }{ \frac{1}{ \sin(45) } \times \frac{cos(45)}{ \sin(45) } }$

sen 45 =√2/2

cos45 = √2/2

sen a = 2 *√2/2 +( 2/√2 *√2/√2=

= √2 + √2 = 2√2

sen a = 2√2

cosa = (2/√2 )* (√2/2 * 2/√2) =

= 2/√2 *√2/√2 = (2*√2)/2 = √2

cos a = √2

E = √5 ( 2√2 + √2)

E = 2√10 + √10

E = 3√10