The Power Of Tangent Function: Geometry, Trigonometry, And Real-World Applications.

tangent of theta

y/x

Tangent of theta (tanθ) is a mathematical function that represents the ratio of the length of the side opposite to an acute angle (θ) in a right-angled triangle to the length of the adjacent side. It is expressed as:

tanθ = opposite / adjacent

Or

tanθ = sinθ / cosθ

Where sinθ is the sine of the angle, and cosθ is the cosine of the angle.

The tangent function is defined for all values of θ except for 90 degrees (or π/2 radians) where it is undefined because the adjacent side would be zero. It is a periodic function, and it repeats itself after every π radians or 180 degrees.

The tangent function is useful in geometry, trigonometry, and many real-world applications, including navigation, physics, and engineering. It can also be used in the calculation of angles and distances in various problems involving triangles, circles, and other geometrical shapes.

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