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Byju's Answer
Standard XII
Mathematics
Sin2A and Cos2A in Terms of tanA
If tanα =m/...
Question
If
tan
α
=
m
/
(
m
+
1
)
,
tan
β
=
1
/
(
2
m
+
1
)
, show that
α
+
β
=
π
/
4
Open in App
Solution
tan
(
α
+
β
)
=
tan
α
+
tan
β
1
−
tan
α
tan
β
=
{
m
/
(
m
+
1
)
}
+
{
1
/
(
2
m
+
1
)
}
1
−
{
m
/
(
m
+
1
)
}
+
{
1
/
(
2
m
+
1
)
}
=
2
m
2
+
2
m
+
1
m
2
+
3
m
+
1
−
m
=
1
∴
α
+
β
=
π
4
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1
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Sin2A and Cos2A in Terms of tanA
Standard XII Mathematics
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