Category: 4. Inverse Trigonometry

If we know the size of an angle, we can find the sin, cos and tan of the angle by using a scientific calculator. We can also use a calculator to find the inverse or reverse of this. If we know the sin, cos or tan of an angle, we can find the size of the angle.…

The inverse trigonometric functions are also known as Arc functions. Inverse Trigonometric Functions are defined in a certain interval (under restricted domains).  Trigonometry Basics Trigonometry basics include the basic trigonometry and trigonometric ratios such as sin x, cos x, tan x, cosec x, sec x and cot x.

The derivatives of inverse trigonometric functions are first-order derivatives. Let us check here the derivatives of all the six inverse functions. Inverse Trig Function dy/dx y = sin-1(x) 1/√(1-x2) y = cos-1(x) -1/√(1-x2) y = tan-1(x) 1/(1+x2) y = cot-1(x) -1/(1+x2) y = sec-1(x) 1/[|x|√(x2-1)] y = csc-1(x) -1/[|x|√(x2-1)]

There are particularly six inverse trig functions for each trigonometry ratio. The inverse of six important trigonometric functions are: Arcsine Arccosine Arctangent Arccotangent Arcsecant Arccosecant Let us discuss all the six important types of inverse trigonometric functions along with its definition, formulas, graphs, properties and solved examples. Arcsine Function Arcsine function is an inverse of the…

The basic inverse trigonometric formulas are as follows: Inverse Trig Functions Formulas Arcsine sin-1(-x) = -sin-1(x), x ∈ [-1, 1] Arccosine cos-1(-x) = π -cos-1(x), x ∈ [-1, 1] Arctangent tan-1(-x) = -tan-1(x), x ∈ R Arccotangent cot-1(-x) = π – cot-1(x), x ∈ R Arcsecant sec-1(-x) = π -sec-1(x), |x| ≥ 1 Arccosecant cosec-1(-x)…

Inverse trigonometric functions are simply defined as the inverse functions of the basic trigonometric functions which are sine, cosine, tangent, cotangent, secant, and cosecant functions. They are also termed as arcus functions, antitrigonometric functions or cyclometric functions. These inverse functions in trigonometry are used to get the angle with any of the trigonometry ratios. The inverse trigonometry functions…