Trigonometry : Trigonometric Operations

Study concepts, example questions & explanations for Trigonometry

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Example Questions

Example Question #4 : Arcsin, Arccos, Arctan

Calculate .

Possible Answers:

Correct answer:

Explanation:

The domain on the argument  for  is 

 .

The range of the function  is not defined at  or , and so the domain of its inverse, , does not include those values. Hence, we must find the angle  between  and  for which .

Since , the equation  can be rewritten as 

,

or

for some x between  and .

Now,  when , since .

Therefore, 

.

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