Algebra and Trigonometry, 8th edition
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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