if 3 cos theta is equal to 2 find the value of 2 sin theta minus 3 cos theta upon 2 sin theta + 3 cos theta
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Step-by-step explanation:
Explanation:
Given
→
2
sin
x
+
3
cos
x
=
2
→
2
sin
x
=
2
−
3
cos
x
→
(
2
sin
x
)
2
=
(
2
−
3
cos
x
)
2
→
4
sin
2
x
=
4
−
6
cos
x
+
9
cos
2
x
→
4
−
4
cos
2
x
=
4
−
6
cos
x
+
9
cos
2
x
→
13
cos
2
x
−
6
cos
x
=
0
→
cos
x
(
13
cos
x
−
6
)
=
0
→
cos
x
=
0
,
6
13
→
x
=
90
°
Now,
3
sin
x
−
2
cos
x
=
3
sin
90
°
−
2
cos
90
°
=
3
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