Q. Show Inverse Trigonometric Functions?

Ans.

Many functions, including trig functions, are invertible. The inverse of trig functions are called ‘inverse trig functions'. Here is a table that summarizes the names and symbols used for the most common inverse trig functions:

IMPORTANT: You have most likely seen the negative superscript symbol used before to denote an exponent. Although the symbol is the same, when we deal with functions, the meaning is different.

acsin and sin^-1 mean the same thing. These functions are the inverse of sine.

Here are some examples. For simplicity, suppose we are only concerned with angles in the first quadrant.

Since then .

It may help if you think of the arcsine function as giving you back the angle you would need to take the sine of