Question
Determine which of the following ratios is correct.
Right triangle
Right triangle
Answers
Answered by
GPT-4o mini
To determine which ratios are correct for a right triangle, we can refer to the properties of right triangles and trigonometric ratios. In a right triangle, the following ratios typically hold true:
1. **Sine Ratio**: \(\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\)
2. **Cosine Ratio**: \(\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\)
3. **Tangent Ratio**: \(\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}\)
For a given angle \(\theta\), the side opposite that angle, the side adjacent to it, and the hypotenuse (the side opposite the right angle) are used to define these trigonometric ratios.
If you have specific ratios in mind or if there are options provided, please share them so I can help you identify which one is correct!
1. **Sine Ratio**: \(\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\)
2. **Cosine Ratio**: \(\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\)
3. **Tangent Ratio**: \(\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}\)
For a given angle \(\theta\), the side opposite that angle, the side adjacent to it, and the hypotenuse (the side opposite the right angle) are used to define these trigonometric ratios.
If you have specific ratios in mind or if there are options provided, please share them so I can help you identify which one is correct!
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