Algebra and Trigonometry, 8th edition
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55

Step-by-step Answer
PAGE: 508SET: ExercisesPROBLEM: 55
Please look in your text book for this problem Statement

The trigonometric function is .

Let , then .

From the definition of inverse tangent function :

If  then .

Draw the right angled triangle :

From Pythagorean theorem,

The square of the hypotenuse is equal to sum the squares of the other two sides.

.

From the above figure : .

.

Substitute in .

Properties of inverse trigonometric function: .

.

Thus, .

.



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