Inverse Trigonometric Functions

In the diagrams that follow, the letter "p" denotes the constant π, and the green dashed lines represent vertical or horizontal asymptotes.
The graphs of a function f(x) [left] and its inverse g(x) [right], which are obtained from one another by reflection through the line y = x
The graph of the sine function; we invert the blue portion to create the inverse sine
The graph of the inverse sine function
The graph of the cosine function; we invert the blue portion to create the inverse cosine
The graph of the inverse cosine function
The graph of the tangent function; we invert the blue portion to create the inverse tangent
The graph of the inverse tangent function
The graph of the cotangent function; we invert the blue portion to create the inverse cotangent
The graph of the inverse cotangent function
The graph of the secant function; we invert the blue portion to create the inverse secant
The graph of the inverse secant function
The graph of the cosecant function; we invert the blue portion to create the inverse cosecant
The graph of the inverse cosecant function

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