Transformation of the Product of Tangent and Cotangent into Sum

Here is the online trigonometric calculator to transform the product of tangent and cotangent into sum for the given values of alpha (α) and beta (β). The cotangent of an angle in a right angle triangle is the ratio of the adjacent side to the opposite side. The trigonometric functions of sin, cos and tan can be easily remembered as SOHCAHTOA (sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, tangent equals opposite over adjacent).

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Formula:

tan α . cot β = (tan α + cot β) / (cot α + tan β) Where, tan = Tangent cot = Cotangent α ,β = Angle in Degrees

Example:

If α = 45 degrees and β = 45 degrees, find tan(α).cot(β)

Solution:

tan(α).cot(β)= (tan 45 + cot 45) / (cot 45 + tan 45)
= 1

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