Finding BE in the Expression '12 sin 30°, where BE sin 30° = 0'

In the world of high school mathematics, one of the fundamental concepts students need to grasp is the application of trigonometric functions. One such problem that often arises is the task of finding the value of BE in the expression '12 sin 30°, where BE sin 30° = 0'.

To solve this problem, we need to understand the properties of the sine function and how it relates to the angle of 30 degrees.

The Sine Function and 30 Degrees

The sine function is one of the three primary trigonometric functions, along with the cosine and tangent functions. The sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse of a right-angled triangle.

When the angle is 30 degrees, the sine of that angle is 1/2 or 0.5. This means that the length of the opposite side is half the length of the hypotenuse.

Solving for BE

Now, let's apply this knowledge to the given expression: '12 sin 30°, where BE sin 30° = 0'.

We know that sin 30° = 0.5, so we can rewrite the expression as:

• 12 sin 30° = 12 × 0.5 = 6

We also know that BE sin 30° = 0, which means that either BE = 0 or sin 30° = 0. Since we know that sin 30° is not equal to 0, the only solution is that BE = 0.

Therefore, the value of BE in the expression '12 sin 30°, where BE sin 30° = 0' is 0 lbs.

By understanding the properties of the sine function and the relationship between the angle of 30 degrees and its sine value, we can effectively solve for the unknown value of BE in this high school mathematics problem.