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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 7: Q. 84 (page 486)

Find the exact value of each expression.
$\tan (\cos^{- 1} \frac{4}{5} + \sin^{- 1} 1)$

Short Answer

Expert verified

The value of the expression is $- \frac{4}{3}$

Step by step solution

01

Step 1. Given information

The given expression is $\tan (\cos^{- 1} \frac{4}{5} + \sin^{- 1} 1)$

02

Step 2. Solve the expression

$\tan (\cos^{- 1} \frac{4}{5} + \sin^{- 1} 1) = \tan (37 掳 + 90 掳) = - \cot (37 掳) = - \frac{4}{3}$

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