5-3 Solving Trigonometric Equations Worksheet With Answers Page 15
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28On the interval [0, 4π) the solutions are
,
,
On the interval [0, 2π) cot x = 1 when x =
and x
, and
.
5-3 Solving Trigonometric Equations
=
.
2
46.
2 sin
x + 1 = –3 sin x
SOLUTION:
44.
SOLUTION:
Let y = 0 and solve for x.
On the interval [0, 4π) the solutions are
,
,
,
,
, and
.
2
47.
csc x cot
x = csc x
SOLUTION:
On the interval [0, 2π) tan x = 0 when x = 0 and x =
π, tan x = –1 when x =
and x =
, and tan x
= 1 when x =
and x =
.
Find all solutions of each equation on the
interval [0, 4 ).
2
45.
4 tan x = 2 sec
x
SOLUTION:
On the interval [0, 4π) the solutions are
,
,
On the interval [0, 4π) the solutions are
,
,
,
,
,
,
, and
.
, and
.
48.
sec x + 5 = 2 sec x + 3
SOLUTION:
2
46.
2 sin
x + 1 = –3 sin x
SOLUTION:
On the interval [0, 4π) the solutions are
,
,
, and
.
On the interval [0, 4π) the solutions are
,
,
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Page 15
49.
GEOMETRY Consider the circle below.
,
,
, and
.
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