smile43765
smile43765 smile43765
  • 03-05-2020
  • Mathematics
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if cos 60° = 1/2 and sin 60º = root 3/2 find cos 240° and sin 240".

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mysticchacha
mysticchacha mysticchacha
  • 03-05-2020

Answer:

cos 240 deg = -1/2   and   sin 240 = - root(3)/2

Step-by-step explanation:

if cos 60° = 1/2 and sin 60º = root 3/2 find cos 240° and sin 240".

we  know that  cos 240 =   cos  (60 + 180) =  - cos 60 =  - 1/2

cosine is negative when the angle is in the 3rd quadrant

sin 240 = sin (60 + 180) =  - root(3) /2

sine is also negative in the 3rd quadrant.

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