Understanding the Trigonometric Function | Finding the Sine of 30 Degrees (sin 30°) in a Right Triangle

sin 30°

The sine of 30 degrees (sin 30°) is a trigonometric function that represents the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle

The sine of 30 degrees (sin 30°) is a trigonometric function that represents the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.

To find the value of sin 30°, we can start by drawing a right triangle. In this case, we can create a triangle with one angle equal to 30 degrees.

In a 30-60-90 degree triangle, the side opposite the 30-degree angle (which we label as angle A) has a length of 1, and the hypotenuse (which we label as side C) has a length of 2. The other side, adjacent to the 30-degree angle, is labeled as side B.

Using the Pythagorean Theorem, we can find the length of side B:

B^2 + 1^2 = 2^2
B^2 + 1 = 4
B^2 = 4 – 1
B^2 = 3
B = √3

Now that we have the lengths of side opposite (1) and the hypotenuse (2), we can determine the sine of 30 degrees:

sin 30° = opposite/hypotenuse
= 1/2
= 0.5

Therefore, sin 30° is equal to 0.5.

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