5-3 Solving Trigonometric Equations Worksheet With Answers Page 8

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x =
 is an extraneous solution. 
Therefore, on the
Therefore, on the interval [0, 2π) the solutions are 0,
5-3 Solving Trigonometric Equations
, and
.
interval [0, 2π) the only solution is
.
2
24. 
csc x + cot x = 1
25. 
2 – 2 cos
x = sin x + 1
SOLUTION:  
SOLUTION:  
 
Check
 
x =
 is an extraneous solution. 
Therefore, on the
 
interval [0, 2π) the only solution is
.
2
25. 
2 – 2 cos
x = sin x + 1
Therefore, on the interval [0, 2π) the solutions are
SOLUTION:  
,
, and
.
26. 
cos x – 4 = sin x – 4
SOLUTION:  
 
Check
 
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