Long description: Trig6Fig6c
Alt text: A right-angled triangle is shown with an angle labeled theta, the adjacent side labeled x, and the opposite side labeled y, leading to the trigonometric relationship tan theta equals y over x and theta equals the arc tangent of y over x.
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- The image displays a right-angled triangle.
- One acute angle within the triangle is labeled with the Greek letter theta (\(\theta\)).
- The side adjacent to the angle theta is labeled with the variable x.
- The side opposite the angle theta is labeled with the variable y.
- A square symbol is placed at the vertex where the side labeled x meets the side labeled y, indicating a right angle of 90 degrees.
- Mathematical relationships are shown alongside the triangle: \( an \theta = \frac{y}{x}\).
- A final inverse function relationship is provided: \(\theta = an^{-1}\left(\frac{y}{x}\right)\).