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Inverse trigonometric functions are defined as the inverse functions of the basic trigonometric functions, which are sine, cosine, tangent, cotangent, secant and cosecant functions. They are also termed arcus functions, antitrigonometric functions or cyclometric functions.
Inverse trig functions are inverses of the 6 basic trigonometric functions. Learn about the different inverse trigonometric functions formulas, graphs, and advanced formulas. Also, check out the solved examples and FAQs.
What are inverse trigonometry functions, and what is their domain and range; How are trigonometry and inverse trigonometry related - with triangles, and a cool explanation; Finding principal value of inverse trigonometry functions like sin-1, cos-1, tan-1, cot-1, cosec-1, sec-1; Solving inverse trigonometry questions using formulas
In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric functions (with suitably restricted domains).
The inverse trigonometric functions play an important role in calculus for they serve to define many integrals. The concepts of inverse trigonometric functions is also used in science and engineering.
The inverse trigonometric functions. We already know about inverse operations. For example, addition and subtraction are inverse operations, and multiplication and division are inverse operations. Each operation does the opposite of its inverse. The idea is the same in trigonometry.
In order to use inverse trigonometric functions, we need to understand that an inverse trigonometric function “undoes” what the original trigonometric function “does,” as is the case with any other function and its inverse.
Inverse trigonometric functions, like any other inverse function, are mathematical operators that undo the function's operation. For the right triangle we have seen the basic trigonometric functions ...
Understand and evaluate inverse trigonometric functions. Extend the inverse trigonometric functions to include the csc − 1, sec − 1, and cot − 1 functions. Apply inverse trigonometric functions to the critical values on the unit circle.
What are the inverse trigonometric functions? arcsin. ( x) , or sin − 1. ( x) , is the inverse of sin. ( x) . arccos. ( x) , or cos − 1. ( x) , is the inverse of cos. ( x) . arctan. ( x) , or tan − 1. ( x) , is the inverse of tan. ( x) . Range of the inverse trig functions.
