They are bijections.
An arctangent is any of several single-valued or multivalued functions which are inverses of the tangent function.
No.
The answer depends on the context for opposition: the additive inverses are whole numbers but the multiplicative inverses are not (except in the case of -1 and +1).
Additive inverses
Reciprocals, or multiplicative inverses
They are inverses of each other.
Exponential and logarithmic functions are inverses of each other.
Inverse functions are two functions that "undo" each other. Formally stated, f(x) and g(x) are inverses if f(g(x)) = x. Multiplication and division are examples of two functions that are inverses of each other.
An arcsine is any of the single- or multivalued functions which are inverses of the sine function.
They are reflected in the line of y=x
Logarithmic functions are converted to become exponential functions because both are inverses of one another.
Inverse oprations. Here are some examples (with some values excluded where one or the other operation is not defined or where one of the functions is not uniquely defined): Addition and subtraction are inverses of each other, Multiplication and division are inverses of each other, Exponentiation and logariths are mutual inverses, Trigonometric functions and their arc equivalents are mutual inverses, Clockwise rotation and anticlockwise rotation are mutual inverses. Squaring (a non-negative number) and the principal square-root of a non-negative number.
The basic circular functions are sine, cosine and tangent. Then there are their reciprocals and inverses.
An arccosine is any of several single-valued or multivalued functions which are inverses of the cosine function.
Inverse functions? (not sure what you mean)
An arctangent is any of several single-valued or multivalued functions which are inverses of the tangent function.
The trigonometric functions give ratios defined by an angle. Whenever you have an angle and a side in right triangle, you can find all the other angles and sides using the six trigonometric functions and their inverses. The link below demonstrates the relationship between functions.