Tangent Values for Different Angles: Explained and Calculated

Tangent x values

To find the tangent values for different angles (values of x), you can use the trigonometric function called tangent, often abbreviated as tan

To find the tangent values for different angles (values of x), you can use the trigonometric function called tangent, often abbreviated as tan. The tangent of an angle x is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

To determine the tangent values for different angles, you can either use a calculator or reference a tangent table. Here are some common tangent values for specific angles:

Angle (degrees) | Tangent value (tan)
—————————————-
0° | 0
30° | √3/3 ≈ 0.577
45° | 1
60° | √3 ≈ 1.732
90° | Undefined (tangent is undefined at 90°)

Note: The tangent function repeats its values every 180°, i.e., tan(x) = tan(x + 180°). So, if you need to find tangent values for other angles, you can use this fact to find equivalent angles within the range of 0° to 90°.

For example, to find the tangent of 75°, you can subtract 60° from 75° to get 15°. Then you can find the tangent of 15° using the tangent formula or table.

Remember to use the correct unit of measurement (degrees or radians) when using the tangent function, as it depends on the calculator or reference material you are using.

If you are using a scientific calculator, there is usually a dedicated tangent button (tan) or you can use the inverse function (e.g., 1/tan, tan^(-1)) if you have the angle and need to find the tangent value.

I hope this helps! Let me know if you have any further questions or need more clarification.

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