How to Calculate Tangent Values for Specific Angles

Tangent y values

The tangent function, denoted as tan(x), is a trigonometric function that calculates the ratio of the length of the opposite side to the length of the adjacent side of a right triangle

The tangent function, denoted as tan(x), is a trigonometric function that calculates the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. To find the tangent y-values, you need to have the values of the x-coordinates (angles) that you want to find the tangent values for.

Here’s a step-by-step process to find the tangent y-values for specific x-coordinates:

1. Determine the x-coordinates (angles) for which you want to find the tangent values. Let’s say you have x = 30°, 45°, and 60°.

2. Convert the angles from degrees to radians. The tangent function uses radians as input, so you need to convert degrees to radians. To convert degrees to radians, you can use the conversion factor: π radians = 180 degrees.

– For x = 30°:
x_radians = (30° * π) / 180° = π / 6 radians

– For x = 45°:
x_radians = (45° * π) / 180° = π / 4 radians

– For x = 60°:
x_radians = (60° * π) / 180° = π / 3 radians

3. Use the tangent function (tan(x)) to calculate the tangent y-values for each x-coordinate.

– For x = 30°:
y_tan = tan(π / 6) ≈ 0.577

– For x = 45°:
y_tan = tan(π / 4) ≈ 1

– For x = 60°:
y_tan = tan(π / 3) ≈ 1.732

So, the tangent y-values for x = 30°, 45°, and 60° are approximately 0.577, 1, and 1.732 respectively.

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