find the solution of sin2x + 3cosx -2sinx + 3 =0
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x
=
π
Explanation:
.
3
cos
x
+
3
=
sin
2
x
3
cos
x
+
3
=
1
−
cos
2
x
cos
2
x
+
3
cos
x
+
2
=
0
Let's factor it:
(
cos
x
+
2
)
(
cos
x
+
1
)
=
0
cos
x
+
2
=
0
∴
cos
x
=
−
2
This is not valid because
cos
values can only be between
1
and
−
1
cos
x
+
1
=
0
cos
x
=
−
1
∴
x
=
π
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