Section 5.2, Exercise 75 (page 329 in Text). Exercise 75: 1+cos x/1-cosx   (-)  1-cos x/1+cosx = 4 cot x csc x Step 1. The simplest form of the common denominator on the left hand side: _______________  (use format, say, sec3(x)) Step 2. After taking the common denominator found in Step 1, and writing the left hand side as a single quotient, the simplified form of the numerator becomes: ______________________ Step 3. Rewrite the right hand side in terms of sin and cos, so that it's numerator becomes: ___________________

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 37E
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Section 5.2, Exercise 75 (page 329 in Text).

Exercise 75:

1+cos x/1-cosx   (-)  1-cos x/1+cosx = 4 cot x csc x

Step 1. The simplest form of the common denominator on the left hand side:

_______________  (use format, say, sec3(x))

Step 2. After taking the common denominator found in Step 1, and writing the left hand side as a single quotient, the simplified form of the numerator becomes:

______________________

Step 3. Rewrite the right hand side in terms of sin and cos, so that it's numerator becomes:

___________________

and its denominator becomes

__________________________

 

 

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