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2003 Purple Comet Problems
17
Problem 17, Fall 2003 , MS and HS
Problem 17, Fall 2003 , MS and HS
Source:
June 23, 2011
trigonometry
Problem Statement
Given that
3
sin
x
+
4
cos
x
=
5
3 \sin x + 4 \cos x = 5
3
sin
x
+
4
cos
x
=
5
, where
x
x
x
is in
(
0
,
π
2
)
(0, \frac{\pi}{2})
(
0
,
2
π
)
, find
2
sin
x
+
cos
x
+
4
tan
x
2 \sin x + \cos x + 4 \tan x
2
sin
x
+
cos
x
+
4
tan
x
.
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