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# Answer: Right-triangle relationships: Draw a right

ISBN: 9780321570567 2

## Solution for problem 40RE Chapter 1

Calculus: Early Transcendentals | 1st Edition

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Problem 40RE

Right-triangle relationships: ?Draw a right triangle to simplify the given expression Ass?ume x> 0 ?and 0?????/2. tan(s?ec?1 ? /2))

Step-by-Step Solution:

Step-by-step solution 40RE Step 1 We need to draw a right triangle and use right triangle relationships to simplify the expression tan (sec ( )) assuming x > 0 and 0 . 2 2 Step 2 To simplify the expression, we first draw a right triangle with an angle , such that: 1 x = sec (2) [1] sec = x 2 We know from right triangle relationships that: sec = hyp adj Since: sec = x 2 We know now that: hyp = x, adj = 2 The resulting right triangle is shown below:

Step 3 of 3

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