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disequazioni goniometriche parzialmente svolte, con grafici della circonferenza goniometrica e coniche predefinite
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Esercizi di trigonometria semi-svolti Per ciascuna delle seguenti disequazioni individua nel piano CS le relative zone valide e le relative soluzioni per l’ incognita x � � � � � �� �� �
4cos
x
�
sin
�
x
� �
3
sin
�
x
� � �
2 cos2 �
x
�� 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
� � � � � �� �� � �
cos2 �
x
� � sin
x
! " 1
#$ 2 $ %
2
&
cos
'
x
( ) *
2 sin
'
x
( ) *
2
+ 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
, - . / 0 12 13 4 5
67 2 7 8
3
9
cos
:
x
; < sin :
x
; < 1
6
2 < 8
2
9
cos
:
x
; 7 8
2 sin
:
x
; < 8
2
= 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
> ? @ A B CD CE F G
2cos2 H
x
IJ 2sin2 Hx
I K 13cos
H
x
I J 2sin2 H
x
I L 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
� � � � � �� �� �
csc
x
�
sec
x
� �
sin
x
� 2
�
3 cos2
x
� � � 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
� � � � � �� �� � �
2cos
�
x
�
sin
�
x
�� 1
sin
�
x
� � �
2 cos2 �
x
� 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
! " # $ % &' &( ) *
+
1 , cos
+
x
- -
tan
+
x
- . 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
/ 0 1 2 3 45 46 7 8
9: 2:;
2
<
cos
=
x
> : ;
2 sin=
x> : ;
2
cos
=
x
> : ;
3 sin=
x> ? ;
3
@ 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
� � � � � �� �� �
4cos2
x
� �
4sin
x
� 1
�
2 cos
x
� � � 2 � �
2
�
sin
x
� � �
2
� 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
� � � � � �� �� � � �
2sin2 �
x
� � �2 !
2
"
cos
�
x
� � !
2 2 # 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
$ % & ' ( )* )+ , - .
cos2 /
x
01 sin2 /
x
0 2 1
2
3
3 sin2 /
x
0 2 cos
/
x
04 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
$ % & ' ( )* )+ , - 5
sin
/
x
01 2cos
/
x
0
sin
/
x
0 6 0
-1.5 -1 -0.5 0.5 1 1.5
-1.5
-1
-0.5
0.5
1
1.5
