Question

me ayudan por favor​

Answer 1

Respuesta:

Explicación paso a paso:

a

$sen(x+45\›)\\\\senx\cdot cos45\›+cosx\cdot sen45\›\\\\\frac{\sqrt2}{2}senx+\frac{\sqrt2}{2}cosx\\\\\frac{\sqrt2}{2}(senx+cosx)$

b

$cos(x+180\›)\\\\cosx\cdot cos180\›-senx\cdot sen180\›\\\\-cosx$

c y f

$sen(30\›+x)\\\\sen30\›\cdot cosx + cos30\›\cdot senx\\\\\frac{1}{2}cosx+\frac{\sqrt3}{2}senx\\\\\frac{cosx+\sqrt3senx}{2}$

d

$cos(x+360\›)\\\\cosx\cdot cos360\›-senx\cdot sen360\›\\\\cosx$

e

$tan(\frac{\pi}{2}+x)\\\\\frac{sen(\frac{\pi}{2}+x)}{cos(\frac{\pi}{2}+x)}\\\\\frac{sen\frac{\pi}{2}\cdot cosx+cos\frac{\pi}{2}\cdot senx}{cos\frac{\pi}{2}\cdot cosx-sen\frac{\pi}{2}\cdot senx}\\\\\frac{cosx}{-senx}\\\\-cotx$