jera36snider jera36snider
  • 08-04-2019
  • Mathematics
contestada

Show that sin (x + pi) = -sin x.

Respuesta :

calculista
calculista calculista
  • 18-04-2019

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

[tex]sin(A + B) = sin A cos B + cos A sin B[/tex]

In this problem we have

[tex]sin(x + \pi)=sin (x)cos(\pi) + cos(x)sin(\pi)[/tex]

Remember that

[tex]sin(\pi) = 0[/tex]

[tex]cos(\pi) = -1[/tex]

substitute

[tex]sin(x + \pi) = sin(x)(-1) + cos(x)(0)[/tex]

[tex]sin(x + \pi) = -sin(x)[/tex]

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