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# Right-triangle relationships: Draw a right triangle to

## Problem 38RE Chapter 1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 38RE

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

Step-by-Step Solution:

Step-by-step solution 38RE Step 1 We need to draw a right 1iangle and use right triangle relationships to simplify the expression cos (tan (x)) assuming x > 0 and 0 . 2 Step 2 To simplify the expression, we first draw a right triangle with an angle , such that: 1 = tan x [1] tan = x We know from right triangle relationships that: opp tan = adj Since: x tan = x = 1 We know now that: opp = x, adj = 1 The resulting right triangle is shown below:

Step 3 of 3

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