Long description: Trig6Fig6d

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A right-angled triangle is shown with an angle labeled theta, the side opposite theta labeled y, and the hypotenuse labeled h.

Alt text: A right-angled triangle is shown with an angle labeled theta, the side opposite theta labeled y, and the hypotenuse labeled h.

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  • The image displays a right-angled triangle, indicated by a right angle symbol at the bottom corner.
  • One acute angle within the triangle is labeled with the Greek letter theta, \(\theta\).
  • The side opposite the angle theta is labeled with the variable \(y\).
  • The longest side of the triangle, which is the hypotenuse relative to angle theta, is labeled with the variable \(h\).
  • The mathematical relationship derived from the triangle is shown as \(\sin\theta = \frac{y}{h}\) and the inverse function is shown as \(\theta = \sin^{-1}\left(\frac{y}{h}\right)\).

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