Inverse trigonometric function It is a general term for the functions of arcsine X, arccosine, arctangent X, arctangent X, arctangent X and arctangent X. Each function expresses its sine, cosine, tangent, cotangent and cotangent as the angle of X. ..
The inverse function of trigonometric function is a multi-valued function, because it does not meet the requirement that the independent variable corresponds to a function value, and its image is symmetrical with its original function about function y = X. Euler put forward the concept of inverse trigonometric function, and expressed it in the form of "arc+function name" for the first time.
anti-sine
The inverse function of sine function y=sin x on [-π/2, π/2] is called arcsine function. Arcsinx represents an angle with a sine value of x, and the value range of the angle is within the range of [-π/2, π/2]. Domain [- 1, 1], range [-π/2, π/2].
Anti-cosine function
The inverse function of cosine function y=cos x on [0, π] is called anti-cosine function. Recorded as arccosx, it represents the angle whose cosine value is x, and the range of the angle is within the range of [0, π]. Definition domain [- 1, 1] and value domain [0, π].