a sin x + b cos x =??
Answers
Answered by
1
heyyy this is ur ans sinx /cos x = tan x hope it help. u
atharvlodhi:
you just get the hell outta here
Answered by
0
Explanation:
a
sin
x
+
b
cos
x
=
c
.
Dividing each term by
√
a
2
+
b
2
, we get the given equation
a
√
a
2
+
b
2
sin
x
+
b
√
a
2
+
b
2
cos
x
=
c
√
a
2
+
b
2
Now for solving such equation, assuming
cos
α
=
b
√
a
2
+
b
2
and
sin
α
=
a
√
a
2
+
b
2
.
Observe that it is compatible as
cos
2
α
+
sin
2
α
=
1
and
tan
α
=
a
b
or
α
=
tan
−
1
(
a
b
)
and then the given equation becomes
cos
x
cos
α
+
sin
x
sin
α
=
c
√
a
2
+
b
2
or
cos
(
x
−
α
)
=
c
√
a
2
+
b
2
and hence
x
−
α
=
2
n
π
±
cos
−
1
(
c
√
a
2
+
b
2
)
and
x
=
2
n
π
±
cos
−
1
(
c
√
a
2
+
b
2
)
+
α
or
x
=
2
n
π
±
cos
−
1
(
c
√
a
2
+
b
2
)
+
tan
−
1
(
a
b
)
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