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