Question

Докозать sin 30° =1/2

Answer 1

Ответ на картинке внизу

Answer 2

To prove that sin 30° = 1/2, we can use the unit circle definition of trigonometric functions. In the unit circle, the angle formed by the positive x-axis and a line connecting the origin to a point on the unit circle represents the angle measure.

Let's consider the angle of 30 degrees:

1. Draw a unit circle.
2. Mark the angle of 30 degrees on the circle.

Now, to find sin 30°, we need to determine the y-coordinate of the point where the angle intersects the unit circle.

From the unit circle, we know that the point corresponding to 30 degrees is (sqrt(3)/2, 1/2). The x-coordinate is sqrt(3)/2, and the y-coordinate is 1/2.

The sine function is defined as the ratio of the opposite side to the hypotenuse in a right triangle. In this case, the y-coordinate (1/2) is the opposite side, and the hypotenuse is 1 (since it's a unit circle).

So, sin 30° = 1/2.

Thus, we have proven that sin 30° = 1/2.