khdudoitp6xfpt khdudoitp6xfpt
  • 25-04-2018
  • Mathematics
contestada

Find the exact value of cos 150 degrees and sin 150 degrees

Respuesta :

rejkjavik rejkjavik
  • 28-08-2018

(a)

[tex] cos(150) [/tex]

we know that

[tex] 150=180-30 [/tex]

[tex] cos(150)=cos(180-30) [/tex]

[tex] cos(150)=-cos(30) [/tex]

now, we can use unit circle

and we get

[tex] cos(150)=-\frac{\sqrt{3}}{2} [/tex]...........Answer

(b)

[tex] sin(150) [/tex]

we know that

[tex] 150=180-30 [/tex]

[tex] sin(150)=sin(180-30) [/tex]

[tex] sin(150)=sin(30) [/tex]

now, we can use unit circle

and we get

[tex] sin(150)=\frac{1}{2} [/tex]...........Answer


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