Mastering Trigonometry Reciprocal Identities: Cotangent And Its Applications

Reciprocal Identity tanθ=

1/cotθ

The reciprocal identity for tangent (tan) is:

1/tanθ = cotθ

This means that if you take the tangent of an angle (θ), the reciprocal of that value (1/tanθ) is equal to the cotangent of the same angle (cotθ).

Mathematically, the formula for tangent is defined as the ratio of the opposite side to the adjacent side of a right-angled triangle. Whereas, the formula for cotangent is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.

In simpler terms, if you know the value of the tangent of an angle, you can easily find the value of the cotangent using the reciprocal identity formula.

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