Question

ayuda!!
necesito demostrar estas identidades trigonométricas son 3

Answer 1

2.)
[tan(x)+cos(x)]/sen(x)=

[sen(x)/cos(x)]/sen(x) + cos(x)/sen(x)=

[sen(x)/cos(x)]×[1/sen(x)] + ctg(x)=

1/cos(x) +ctg(x)=

sec(x) + ctg(x)


3.)
sen(x+y) + sen(x-y)=

sen(x)cos(y)+cos(x)sen(y) + sen(x)cos(y)-cos(x)sen(y)=

2sen(x)cos(y)


4.)
csc(x)/[tan(x)+ctg(x)]=

[1/sen(x)]/[(sen(x)/cos(x)) + (cos(x)/sen(x)]=

[1/sen(x)]/[(sen²(x)+cos²(x))/sen(x)cos(x)=

[1/sen(x)] × [sen(x)cos(x)]/1=

cos(x)


Salu2.
Suerte... :)