120° will be found on in the second quadrant of the unit circle. Specifically, the reference angle will be 60°. This is because the angle measurement starts from the positive x axis, and rotates 120° counter-clockwise. The angle formed at this point between the line and the x-axis (negative direction) is 60°.
The special right triangle formed will have a hypotenuse of 1, and a reference angle of 60°.
We know that the adjacent line, the line opposite the 30° angle, will be 1/2 the hypotenuse, or -1/2. Negative because it goes in the negative x direction.
The opposite end, or vertical side, will be √3/2.
sin(120) = opposite/hypotenuse = √3/2 ÷ 1 = √3/2
cos (120) = adjacent/hypotenuse = (-1/2) / 1 = -1/2
tan (120) = opposite / adjacent = (√3/2) / (-1/2) = -√3
Because its being halved each time it would be 0.5 then 0.25. i hope this helped
Answer:
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