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Chapter 7: Q. 9 (page 450)

tan(tan-1x)=xwhere_____.

Short Answer

Expert verified

tan(tan-1x)=xwhere-∞<x<∞.

Step by step solution

01

Step 1. Given Information:

Given expression:

tan(tan-1x)=xwhere_____.

We want to fill the gap in given expression.

02

Step 2. Solution:

The tangent function and its inverse has the property:

f(f-1(x))=tan(tan-1x)=xwhere-∞<x<∞.

Therefore,tan(tan-1x)=xwhere-∞<x<∞.

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