tan inverse 3
Understand the Problem
The question is asking for the value of the arctangent (or tangent inverse) of 3. This involves determining the angle whose tangent is 3.
Answer
The value of $\arctan(3)$ is approximately $1.2490$ radians.
Answer for screen readers
The value of $\arctan(3)$ is approximately $1.2490$ radians.
Steps to Solve
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Identify the Function We need to evaluate the function $y = \arctan(3)$. This function gives us the angle in radians whose tangent is equal to 3.
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Use a Calculator To find $\arctan(3)$, you can use a scientific calculator or a trigonometrical table. Input the value 3 and calculate the arctangent.
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Interpret the Result The calculator result will give you $y$ in radians. You can convert it to degrees if necessary by using the formula: $$ \text{degrees} = y \times \left( \frac{180}{\pi} \right) $$
The value of $\arctan(3)$ is approximately $1.2490$ radians.
More Information
The angle whose tangent is 3, approximately $1.2490$ radians, can also be converted to degrees. When converted, it is about $71.57$ degrees. The arctangent function is commonly used in trigonometry and finds applications in various fields such as physics and engineering.
Tips
- Incorrect Calculation: Forgetting to use a calculator or using an incorrect mode (degrees vs radians) can lead to incorrect results.
- Neglecting Conversion: Failing to convert radians to degrees when required.
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