KamlynC63135 KamlynC63135
  • 03-11-2022
  • Mathematics
contestada

What is the exact solution of cos 2x? Thank you!

What is the exact solution of cos 2x Thank you class=

Respuesta :

AlonsoQ278771 AlonsoQ278771
  • 03-11-2022

Answer:

119/169

Explanation:

We use the following trig identity

[tex]\cos2x=1-2\sin^2(x)[/tex]

Now in our case, we know that

[tex]\sin x=-\frac{5}{13}[/tex]

therefore, our formula gives

[tex]\cos2x=1-2*(\frac{5}{13})^2[/tex]

which simplifies to give

[tex]\boxed{\cos2x=\frac{119}{169}.}[/tex]

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