corinaslenker corinaslenker
  • 03-04-2019
  • Mathematics
contestada

HELP PLEASE!
Find the exact values of cos and sin for the angle measure. 180 degrees

Respuesta :

gmany
gmany gmany
  • 03-04-2019

Answer:

[tex]\large\boxed{\sin180^o=0\ and\ \cos180^o=-1}[/tex]

Step-by-step explanation:

[tex]\text{Use}\\sin(2\theta)=2\sin\theta\cos\theta\\\\\cos(2\theta)=\cos^2\theta-\sin^2\theta\\\\180^o=2(90^o)\\\\\sin90^o=1\\\\\cos90^o=0\\===================\\\\\sin180^o=\sin(2\cdot90^o)=2\sin90^o\cos90^o=2(1)(0)=0\\\\\cos180^o=\cos(2\cdot90^o)=\cos^290^o-\sin^290^o=0^2-1^2=-1[/tex]

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