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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