English question answer please

From the given right-angled triangle:
For angle $\theta$:
The side opposite to $\theta$ is $y$.
The hypotenuse is $z$.
Therefore, the definition of $\sin \theta$ is:

For angle $\phi$:
The side adjacent to $\phi$ is $y$.
The hypotenuse is $z$.
Therefore, the definition of $\cos \phi$ is:

The problem provides:

From Step 1, we established that for this specific triangle, $\sin \theta = \frac{y}{z}$ and $\cos \phi = \frac{y}{z}$.
This implies that $\sin \theta$ must be equal to $\cos \phi$.
However, comparing the given values from Step 2:

(since $3 \times 13 = 39$ and $5 \times 12 = 60$, so $39 \neq 60$).
This indicates a contradiction in the problem statement.

In a right-angled triangle, the sum of the two acute angles is $90^\circ$.
Thus, $\theta + \phi = 90^\circ$.
This means $\phi = 90^\circ - \theta$.
Using the trigonometric identity $\cos(90^\circ - \theta) = \sin \theta$, we can confirm that $\cos \phi$ must be equal to $\sin \theta$ for the angles in the same right triangle.
Since the given values $\frac{3}{5}$ and $\frac{12}{13}$ are not equal, the problem's conditions are contradictory.

Due to the contradictory information provided ($\sin \theta \neq \cos \phi$ when they should be equal for the given triangle), it is not possible to determine unique values for $x$, $y$, and $z$ that satisfy both conditions simultaneously.

The problem contains contradictory information, so unique values for $x, y, z$ cannot be determined.