If sin (x-a) = k sin (x+a) express tan x in terms of k and a
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Answer:
bc+
ck
1
+
1+bk
ak
Substituting values from
a
sinx
=
b
cosx
=
c
tanx
=k
we get
k
cosx
.
k
tanx
+
tanxk
k
+
1+
k
cosx
k
k
sinx
k
=
k
2
sinx
+
tanx
1
+
1+cosx
sinx
=
k
2
sinx
+
sinx
cosx
+
1+cosx
sinx
=
k
2
sinx
+
sinx
1
=
k
2
ak
+
ak
1
=
k
1
(a+
a
1
)
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