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1. The exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5

   Solving trigonometry identity

   If an angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2), the measure of cos(120) can be expressed as;

   Cos120 = cos(90 + 30)

   Using the cosine rule of addition

   cos(90 + 30) = cos90cos30 – sin90sin30

   cos(90 + 30) = 0(√3/2) – 1(0.5)

   cos(90 + 30) = 0 – 0.5

   cos(90 + 30) = 0.5

   Hence the exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5

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