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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.
Secant Function: sec (θ) = Hypotenuse / Adjacent. Cotangent Function: cot (θ) = Adjacent / Opposite. Example: when Opposite = 2 and Hypotenuse = 4 then. sin (θ) = 2/4, and csc (θ) = 4/2. Because of all that we can say: sin (θ) = 1/csc (θ) cos (θ) = 1/sec (θ) tan (θ) = 1/cot (θ) And the other way around:
Formula. sec 2 θ = 1 + tan 2 θ. The square of secant function equals to the addition of one and square of tan function is called the secant squared formula. It is also called as the square of secant function identity.
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.
26 Ιουλ 2023 · The square of the secant function identity is a trigonometric relationship that concerns the square of the secant function, denoted as sec^2(x). It is derived from the Pythagorean trigonometric identity, which states that sin^2(x) + cos^2(x) = 1.
Secant (sec) - Trigonometry function. (See also Secant of a circle). In a right triangle, the secant of an angle is the length of the hypotenuse divided by the length of the adjacent side. In a formula, it is abbreviated to just 'sec'.
Trigonometric Identities. (Math | Trig | Identities) sin (theta) = a / c. csc (theta) = 1 / sin (theta) = c / a. cos (theta) = b / c. sec (theta) = 1 / cos (theta) = c / b. tan (theta) = sin (theta) / cos (theta) = a / b. cot (theta) = 1/ tan (theta) = b / a. sin (-x) = -sin (x)
