Question
Express tan M as a fraction in simplest terms.
M
N
O
4
5
Answer
Attempt 1 out of 2
M
N
O
4
5
Answer
Attempt 1 out of 2
Answers
GPT-4o mini
To express \(\tan M\) as a fraction in simplest terms, we need to know the relationship between the sides of the triangle represented by angles M, N, and O. Typically, in a right triangle, \(\tan\) of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.
Given that the question mentions values of 4 (for M) and 5 (for N), we might interpret that:
- If we assume M corresponds to an angle opposite the side with length 4,
- And N corresponds to the adjacent side with length 5,
Then, the tangent of angle M can be expressed as:
\[
\tan M = \frac{\text{opposite}}{\text{adjacent}} = \frac{4}{5}
\]
Thus, if this interpretation of the triangle is correct, the simplest form of \(\tan M\) is:
\[
\frac{4}{5}
\]
If more context or different values were meant, please provide additional details for a more tailored solution!
Given that the question mentions values of 4 (for M) and 5 (for N), we might interpret that:
- If we assume M corresponds to an angle opposite the side with length 4,
- And N corresponds to the adjacent side with length 5,
Then, the tangent of angle M can be expressed as:
\[
\tan M = \frac{\text{opposite}}{\text{adjacent}} = \frac{4}{5}
\]
Thus, if this interpretation of the triangle is correct, the simplest form of \(\tan M\) is:
\[
\frac{4}{5}
\]
If more context or different values were meant, please provide additional details for a more tailored solution!