Final answer:
The cos 30° is sqrt(3)/2.
Step-by-step explanation:
If the sin 30° is equal to 1/2, then the cos ____° = _____.
To determine the missing value, we need to use the relationship between sine and cosine in a right triangle. In a right triangle, the sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. The cosine of an angle is equal to the length of the side adjacent to the angle divided by the length of the hypotenuse.
In this case, since sin 30° = 1/2, we know that the side opposite the angle is 1 and the hypotenuse is 2. To find the side adjacent to the angle, we use the Pythagorean theorem: (1)² + (x)^2 = (2)². Solving for x, we get x = √(3). Therefore, the cos 30° = √(3)/2.