Question

Express tan MM as a fraction in simplest terms.
M
N
O
4
5
Answer
Attempt 1 out of 2

Answer 1

sorry there just supposed to be one m

Answer 2

To express \( \tan(\text{MM}) \) in simplest terms, we need to define what MM is, particularly in terms of angles. However, without further context or specifics on what MM represents (e.g., is it an angle or a mathematical expression), I will provide a general approach to finding the tangent of an angle in terms of fractions.

### General Approach for Finding \(\tan\) in Simplest Terms

1. **Understanding Tan**:
\[
\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}
\]
If you have a right triangle or coordinates of points, you could use the tangent definition to calculate the value.

2. **Trigonometric Identities**: If MM is given in terms of another angle or expression (e.g., it is some function of another angle), use relevant trigonometric identities like:
- \(\tan(a + b) = \frac{\tan a + \tan b}{1 - \tan a \tan b}\)
- \(\tan(2\theta) = \frac{2\tan(\theta)}{1 - \tan^2(\theta)}\)
- \(\tan^2(\theta) + 1 = \sec^2(\theta)\)

3. **Convert to Fraction**: Once you calculate the value, you might need to simplify it:
- Find a common denominator if the result is a mix of terms.
- Factor and reduce as necessary.

4. **Express in Simplest Terms**: Ensure no factors can be canceled or further reduced.

### Conclusion:
Please clarify what MM means, or provide more specifics about the angles you're working with, so that I can assist you adequately!