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Chapter 6: Q. 6 (page 395)

The domain of the tangent function is _____.

Short Answer

Expert verified

The domain of the tangent function is the set of all real numbers, except the odd integer multiples of 蟺2.

Step by step solution

01

Step 1. Given information.

We have:

The domain of the tangent function is _____.

02

Step 2. Fill the blank.

The tangent function, the x-coordinate of P=x,ycan not be 0since this results in division by 0.

On the unit circle, there are two points 0,1,0,-1. These two points correspond to the angles 蟺2and 3蟺2.

Such angles must therefore be excluded from the domain of the tangent function.

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