can u tell me cos120 value
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HEY FRIEND HERE IS UR ANS:
⌛The exact value of cos(120°) is -1/2.
We can find this exact value by using the double angle identity for cosine.
✴Double Angle Identity: cos(2x) = cos2 (x) - sin2 (x)
✴We will also need the following facts:
120 = 2 × 60
sin(60°) = √(3) / 2
cos(60°) = 1/2
✴Since 120 = 2 × 60,
we have the following:
cos(120°) = cos(2 × 60°)
✴Therefore, we can use our double angle identity for cosine with x = 60.
cos(120°) = cos(2 × 60°)
= cos2 (60) - sin2 (60)
✴Now we use facts two and three to plug in values for cos(60°) and sin(60°), and then we simplify.
cos(120°) = cos(2 × 60°)
= cos2 (60) - sin2 (60)
= (1/2)2 - (√(3) / 2)2
= 1/4 - 3/4
= -2/4
= -1/2
✴We end up with cos(120°) = -1/2.
I hope it was helpful.
plzzz mark it as brainlest
⌛The exact value of cos(120°) is -1/2.
We can find this exact value by using the double angle identity for cosine.
✴Double Angle Identity: cos(2x) = cos2 (x) - sin2 (x)
✴We will also need the following facts:
120 = 2 × 60
sin(60°) = √(3) / 2
cos(60°) = 1/2
✴Since 120 = 2 × 60,
we have the following:
cos(120°) = cos(2 × 60°)
✴Therefore, we can use our double angle identity for cosine with x = 60.
cos(120°) = cos(2 × 60°)
= cos2 (60) - sin2 (60)
✴Now we use facts two and three to plug in values for cos(60°) and sin(60°), and then we simplify.
cos(120°) = cos(2 × 60°)
= cos2 (60) - sin2 (60)
= (1/2)2 - (√(3) / 2)2
= 1/4 - 3/4
= -2/4
= -1/2
✴We end up with cos(120°) = -1/2.
I hope it was helpful.
plzzz mark it as brainlest
Urvee1:
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Answered by
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Answer:
HELLO DEAR☺️
cos120
=cos(90+30)
=-sin(30)
= -½
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