sin 30°
In trigonometry, sin refers to the sine function
In trigonometry, sin refers to the sine function. The sine function relates the ratio of the length of the side opposite an acute angle in a right triangle to the length of the hypotenuse of that triangle.
Now, to find the value of sin 30° (read as “sine of 30 degrees”), we need to determine the ratio of the opposite side to the hypotenuse in a right triangle with a 30-degree angle.
We can use a special right triangle known as a 30-60-90 triangle to easily find this ratio. In a 30-60-90 triangle, the sides are in the ratio of 1:√3:2. This means that the length of the side opposite the 30-degree angle is equal to half the length of the hypotenuse.
If we consider the hypotenuse to have a length of 2, then the side opposite the 30-degree angle will have a length of 1. Therefore, the ratio of the opposite side to the hypotenuse is 1/2.
So, sin 30° = opposite/hypotenuse = 1/2.
Hence, sin 30° = 1/2.
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