cot(x - y): = a Reciprocal Identity, and then use a Subtraction Formula. 1 cot(x - y) = COL(x) col(y) + 1 cot(y) - cot(x) 11 || tan a Reciprocal Identity, and then simplify the compound fraction. 1 1 + (cot(x)) (cot(y)) tan(x) - tan(y) + tan(x) tan(y) 1 cot(x) cot(x) cot(y) cot(y) - cot(x) cot(x) cot(y) 1 cot(y)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 23E
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cot(x - y) =
Use a Reciprocal Identity, and then use a Subtraction Formula.
1
cot(x - y)
cot(y) +
cot(y) - cot(x)
= tan
=
||
Use a Reciprocal Identity, and then simplify the compound fraction.
(co₁(x)) (cot(y))
5)
1
tan(x) - tan(y)
+ tan(x) tan(y)
1
cot(x)
cot(x) cot(y)
cot(y) - cot(x)
cot(x) cot(y)
+
1
cot(y)
Transcribed Image Text:cot(x - y) = Use a Reciprocal Identity, and then use a Subtraction Formula. 1 cot(x - y) cot(y) + cot(y) - cot(x) = tan = || Use a Reciprocal Identity, and then simplify the compound fraction. (co₁(x)) (cot(y)) 5) 1 tan(x) - tan(y) + tan(x) tan(y) 1 cot(x) cot(x) cot(y) cot(y) - cot(x) cot(x) cot(y) + 1 cot(y)
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