Simplify sec(x)/csc(x) + csc(x)/sec(x): Step 1. Use sin and cos and simplify the compound fractions: sec(x)/csc(x) csc(x)/sec(x) = one the (x)/ (x)) (x)/ Step 2. Common denominator after Step 1: ( ► (x))( Step 3. After using common denominator and writing a by single quotient, the numerator simplifies to (x) Identities. (x) Step 4. Convert back to sec and csc to get the final answer: ( (x)) ( (x))

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 44RE
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Simplify sec(x)/csc(x) + csc(x)/sec(x):
Step 1. Use sin and cos and simplify the compound
fractions:
sec(x)/csc(x) =
csc(x)/sec(x) =
one the
(x)/
(x))
(x)/
(x)
Step 2. Common denominator after Step 1: (
(x))(
Step 3. After using common denominator and writing a
by
single quotient, the numerator simplifies to
Identities.
(x)
41
Step 4. Convert back to sec and csc to get the final
answer:
((x))(
(x))
Transcribed Image Text:Simplify sec(x)/csc(x) + csc(x)/sec(x): Step 1. Use sin and cos and simplify the compound fractions: sec(x)/csc(x) = csc(x)/sec(x) = one the (x)/ (x)) (x)/ (x) Step 2. Common denominator after Step 1: ( (x))( Step 3. After using common denominator and writing a by single quotient, the numerator simplifies to Identities. (x) 41 Step 4. Convert back to sec and csc to get the final answer: ((x))( (x))
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