### inverse Trigonometric functions

In trigonometry, if an angle is given then using any of the 6 trigonometric functions we find its trigonometric function value. But if the trigonometric function value is given, then finding the angle (working backwards) using a function is called Inverse trigonometric function.

Example:Since “radian” is the standard unit for angle measure, we know:

The above example shows that inverse trigonometric functions are called as: arcsine(x), arccos(x), arctan(x), arccsc(x), arcsec(x), arccot(x). Here **‘x’ is the value of the function and inverse is used to find the angle measure!**

**Example: **

**Examples: **

1) What is arcsin(0)? **->** **‘0’ since sin(0) = 0**

2) arctan(θ) = p **if and only if** tan(p) = θ

3) arccsc(u) = m **->** csc(m) = u

**Example: **Evaluate the smallest angle measure for arctan(-1/√3)

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