Understanding the Inverse Cotangent Function | Breaking Down the Expression y = cot⁻¹ u/a

y = cot⁻¹ u/a

The expression y = cot⁻¹ u/a represents the inverse cotangent function

The expression y = cot⁻¹ u/a represents the inverse cotangent function. Let’s break down this expression and understand what it means.

First, let’s focus on the cot⁻¹ term. cot⁻¹ denotes the inverse cotangent function, also known as arccotangent or arccot. This function takes an input and returns the angle whose cotangent is that input.

Next, we have u/a inside the cot⁻¹ function. Here, u and a are variables that represent real numbers. The u/a in the cot⁻¹ term means we are taking the ratio of u and a, u/a, as the input to the inverse cotangent function.

Finally, the equation y = cot⁻¹ u/a establishes that the result of cot⁻¹ u/a is equal to the variable y. This equation suggests that we are solving for y when the ratio u/a is the input to the inverse cotangent function.

To find the value of y, you need to evaluate the inverse cotangent of u/a. This can be done using a calculator or reference tables that provide trigonometric values. Once you find the angle whose cotangent is u/a, that angle will be the value of y.

Keep in mind that the inverse cotangent function has a range from 0 to π, or 0 to 180 degrees, so the resulting angle y will fall within that range.

Overall, the equation y = cot⁻¹ u/a represents the inverse cotangent function applied to the ratio u/a, with the resulting angle y as the output.

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