5-3 Solving Trigonometric Equations Worksheet With Answers Page 18

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other graph when 
below the other graph when 0 ≤ x <
 or 
 < x <
 ≤ x ≤ 
.
2π.
Therefore, 0 < 2 cos x –
 on 0 ≤ x <
 or 
 < 
5-3 Solving Trigonometric Equations
Therefore,
≥ 
 on
 ≤ x ≤ 
.
x < 2π.
53. 
≤ tan x cot x
52. 
≥ 
SOLUTION:  
SOLUTION:  
Graph y =
and y = tan x cot x on [0, 2π).
Graph y =
and y =
 on [0, 2π). Use
Use the intersect feature under the CALC menu to
the intersect feature under the CALC menu to
determine on what interval(s)
≤ tan x cot
≥ 
determine on what interval(s)
.
x.
 
 
The graphs intersect at about 3.142 or π. The graph
of y = tan x cot x is at or below the other graph
when 0 ≤ x < 2π.
 
Therefore,
≤ tan x cot x on 0 ≤ x < 2π.
 
The graphs intersect at about 1.047 or
 and about 
54. 
cos x ≤
2.094 or
. The graph of y =
is below the
SOLUTION:  
other graph when 
 ≤ x ≤ 
.
Graph y = cos x and y =
 on [0, 2π). Use the
Therefore,
≥ 
 on
 ≤ x ≤ 
.
intersect feature under the CALC menu to
determine on what interval(s) cos x ≤
.
53. 
≤ tan x cot x
SOLUTION:  
Graph y =
and y = tan x cot x on [0, 2π).
Use the intersect feature under the CALC menu to
determine on what interval(s)
≤ tan x cot
x.
 
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