) If f(x) = 1 + (x ^ 2) / x * 1 then value of x is f(cotA) is

The given function is:

\[
f(x) = 1 + \frac{x^2}{x} \times 1
\]

Let's simplify it:

\[
f(x) = 1 + \frac{x^2}{x} = 1 + x
\]

So, the function is \( f(x) = 1 + x \).

Now, you want to find the value of \( f(\cot A) \):

\[
f(\cot A) = 1 + \cot A
\]

So the value of \( f(\cot A) \) is \( 1 + \cot A \).

Would you like more details or have any questions?

Here are five related questions:
1. How is the cotangent of an angle defined?
2. What is the domain of \( f(x) = 1 + x \)?
3. How does the graph of \( f(x) = 1 + x \) look?
4. What happens to \( f(x) \) as \( x \) approaches negative infinity?
5. Can you express \( f(x) = 1 + x \) in terms of other trigonometric functions if \( x = \cot A \)?

**Tip:** Always double-check the interpretation of expressions to avoid missing multiplications or divisions in mathematical problems.

Discover how to find the value of f(cot A) in the function f(x) = 1 + x. This problem involves trigonometric functions and their evaluations. Explore step-by-step solutions and related concepts. Suitable for high school students studying trigonometry.

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