Discover the power of our Tangent Triple Angle Identity Calculator, an essential online tool for students and professionals delving into trigonometry. This calculator helps you quickly compute the value of tan(3x) given an angle 'x', applying the fundamental trigonometric identity. Use it to solve complex angle problems, verify homework, or deepen your understanding of angle relationships with ease.
Formula:
The Tangent Triple Angle Identity is a core trigonometric relation used to express the tangent of three times an angle in terms of the tangent of the single angle. The formula is:
tan(3x) = (3tan(x) - tan³(x)) / (1 - 3tan²(x))
Where:
xis the input angle, typically in degrees.tan(x)represents the tangent of the angle x.tan³(x)denotes(tan(x))³.tan²(x)denotes(tan(x))².