7/21/2019 Equaes Trigonomtrica 2001
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SISTEMA ELITE DE ENSINO MATEMTICA
NVEL I
01. Resolver as seguintes equaes:
a) 1xcosSenx =+ b) 3xcosxsen3 =02. Discutir, segundo m, as
equaes seguintes:
a) ( ) mxsen1mxcosm =+ b) mxcosxsen =+
03.Determinar x tal que x0 e( ) ( ) 1axcosaxcos 22 =++
04.Determinar x tal que( ) ( ) 1xsenx2cosx3sen =+ e x0
0. !ual o valor de x que satis"a# a equa$o( )[ ] ( )[ ]
1xsencos.xcossen =
NVEL II
01. Resolva as equaes abai%o:
a) 2xcos3xcosxsen2xsen3 22 =
b) 0xcosxsen22xcosSenx =++
c) 22xseccosSecx =+
d) 1xcosxSen 33 =+
NIVEL III01. Resolva as equaes:
a)4
1xcosxsenxcosxsen
33 =
b) 0)x2cos()x2sen(xcosxsen1 =++++
c) )x2sen(1tgx1tgx1
+=
+
d))x2cos()x2sen(xcos)x3cos(xsen1 ++=++
e) ( )
=+ x26
cos5)x2cos(3)x2sen(2
")8
5
3
xcos
3
xsen
44 =
+
g) 0)x5sen()x5cos(3)x17sen(2 =++
&) 3)xsenx(cosxsen3)1tgx(xsen2 +=+
i) )x2sen(2
11xcosxsen 33 =+
')
xseccos
1
xsec
1
xgcot
1
xtg
1
xcos
1
xsen
1222222
()
=+2
xtg2xcos2
l)
2
2
xsec
xseccos21
2=+
m)xsen1xsen1xgcot 2
+=
02. Resolva:
a) 1)x2sen(2gxcot =
b) 012)xcos(sen12)x2sen( =+
c) )x3(tg)x2(tg)x2(tg3)x3(tg2 2=
d) +=+ n,1xcosxsen n2n2
03. alcule:
a) 70sen210sen2
1
b))x14sen(...)x3sen()x2sen(xsenxsenS +++++=
c)
++
+
+
=4
ncos...
4
3cos
4
2cos
4cosS
04, *rove que:
a)21
52cos
5cos =
b)2
1
7
6cos
7
4cos
7
2cos =
+
+
c) 4tg9tg27tg63tg81 =+
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