Show inverse trigonometric functions, Mathematics

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Q. Show Inverse Trigonometric Functions?

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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:

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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.

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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

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