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In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.
Sec, Cosec and Cot. Secant, cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. sec x = 1. cos x. cosec x = 1. sin x. cot x = 1 = cos x. tan x sin x. Note, sec x is not the same as cos -1 x (sometimes written as arccos x).
All the trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant, secant, and cotangent. All these trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side.
Cosecant, Secant and Cotangent. We can also divide "the other way around" (such as Adjacent/Opposite instead of Opposite/Adjacent) to get: Cosecant Function: csc (θ) = Hypotenuse / Opposite. Secant Function: sec (θ) = Hypotenuse / Adjacent. Cotangent Function: cot (θ) = Adjacent / Opposite.
In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side. In a formula, it is abbreviated to just 'cot'.
Basic trig identities are formulas for angle sums, differences, products, and quotients; and they let you find exact values for trig expressions.
The cotangent is one of the trigonometric ratios and is defined as cot x = (adjacent side)/(opposite side) for any angle x in a right-angled triangle.
