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Byju's Answer
Standard XIII
Mathematics
General Solution of cos theta = cos alpha
If 3 sin x + ...
Question
If
3
sin
x
+
4
cos
a
x
=
7
has at least one solution and
a
=
p
m
q
n
+
1
;
where
m
,
n
∈
Z
,
then the value of
p
+
q
is
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Solution
We have
3
sin
x
+
4
cos
a
x
=
7
which is possible only when
sin
x
=
1
and
cos
a
x
=
1
⇒
x
=
(
4
n
+
1
)
π
2
and
a
x
=
2
m
π
⇒
x
=
(
4
n
+
1
)
π
2
=
2
m
π
a
⇒
a
=
4
m
4
n
+
1
=
p
m
q
n
+
1
⇒
p
+
q
=
4
+
4
=
8
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0
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General Solution of cos theta = cos alpha
Standard XIII Mathematics
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