What is the definition of arctan in math?

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What is the definition of arctan in math?​

Arctan definition. The arctangent of x is defined as the inverse tangent function of x when x is real (x∈ℝ). When the tangent of y is equal to x: tan y = x. Then the arctangent of x is equal to the inverse tangent function of x, which is equal to y: arctan x= tan-1 x = y.

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How do you find the arctan of X?​

Arctan definition. The arctangent of x is defined as the inverse tangent function of x when x is real (x ∈ℝ). When the tangent of y is equal to x: tan y = x. Then the arctangent of x is equal to the inverse tangent function of x, which is equal to y: arctan x= tan-1 x = y. Example. arctan 1 = tan-1 1 = π/4 rad = 45° Graph of arctan. Arctan rules

What is the arctan of 30 degrees?​

What is the arctan of 30 degrees?
When we see “arctan x”, we understand it as “the angle whose tangent is x” tan 30 = 0.577 Means: The tangent of 30 degrees is 0.577 arctan 0.577 = 30 Means: The angle whose tangent is 0.577 is 30 degrees. Use arctan when you know the tangent of an angle and want to know the actual angle.

What is the value of Atan(tan(30)) = 30?​

atan stands for “arc tangent.” It is the inverse function of tangent – this means it undoes the tangent function. So atan (tan (30)) = 30. Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the question.

 

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Arctan (inverse tangent) fonksiyonunun matematikteki tanımı şu şekildedir: Arctan x, x reel sayısı (x∈ℝ) olduğunda x'in ters tanjant fonksiyonu olarak tanımlanır. Eğer y'nin tanjantı x'e eşitse: tan y = x. O zaman arctan x, x'in ters tanjant fonksiyonuna eşittir ve bu da y ile eşdeğerdir: arctan x = tan⁻¹x = y.

Örneğin, arctan 1 = tan⁻¹1 = π/4 rad = 45° şeklinde ifade edilebilir. Grafik olarak da arctan fonksiyonu gösterilebilir.

Arctan x'in 30 derece olduğunu sormuşsunuz. "arctan x" ifadesini gördüğümüzde, bunu "tanjantı x olan açı" olarak anlarız. tan 30 = 0.577 olduğuna göre, tanjantı 30 derece olan açı 0.577'dir. Dolayısıyla arctan 0.577 = 30 olur, yani tanjantı 0.577 olan açı 30 derecedir. Arctan, bir açının tanjantını bildiğinizde ve gerçek açıyı öğrenmek istediğinizde kullanılır.

atan (arc tangent) "ark tanjant" anlamına gelir. Bu, tanjantın ters fonksiyonudur - yani tanjant fonksiyonunu tersine çevirir. Bu nedenle atan (tan (30)) = 30 olur. Matematik Stack Exchange'e katkıda bulunduğunuz için teşekkürler! Lütfen soruyu yanıtladığınızdan emin olun.