Answer:
B. 1/2
Step-by-step explanation:
This problem involves the use of the Pythagorean theorem. In the unit circle, the hypotenuse of any right triangle formed is 1 while the coordinates of the point are then the two legs that make up the triangle.
a = 1 (given)
b = √3/2 (given)
a² = b² + c² (Pythagorean Theorem)
1² = (√3/2)² + c² (Substitute information)
Now, we need to solve for c
1 = (3/4) + c² (square the hypotenuse and one of the legs)
1 - (3/4) = (3/4) + c² - (3/4) (subtract 3/4 on both sides)
1/4 = c² (combine like terms)
√(1/4) = √(c²) (square root both sides)
√1 / √4 = c (square root both sides)
1/2 = c (final answer)
Therefore the other leg of the right triangle is 1/2, this also means that the other coordinate, or x, is 1/2, so the answer is B. 1/2.
