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AP EAPCET 20-Aug-2021 Shift 1 Paper
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© examsnet.com
Question : 22
Total: 160
If
tan
β
=
tan
α
+
tan
γ
1
+
tan
α
tan
γ
then
sin
2
α
+
sin
2
γ
1
+
sin
2
α
sin
2
γ
=
sin
2
β
cos
2
β
tan
2
β
sec
2
β
Validate
Solution:
tan
β
=
tan
α
+
tan
γ
1
+
tan
α
tan
γ
tan
β
=
sin
α
cos
γ
+
sin
γ
cos
α
cos
α
cos
γ
+
sin
α
sin
γ
tan
β
=
sin
(
α
+
γ
)
cos
(
α
−
γ
)
sin
2
α
+
sin
2
γ
1
+
sin
2
α
sin
2
γ
=
2
sin
(
α
+
γ
)
cos
(
α
−
γ
)
1
+
(
2
sin
α
cos
γ
)
(
2
sin
γ
cos
α
)
=
2
sin
(
α
+
γ
)
cos
(
α
−
γ
)
1
+
[
sin
(
α
+
γ
)
+
sin
(
α
−
γ
)
]
[
sin
(
α
+
γ
)
−
sin
(
α
−
γ
)
]
=
2
sin
(
α
+
γ
)
cos
(
α
−
γ
)
1
+
sin
2
(
α
+
γ
)
−
sin
2
(
α
−
γ
)
=
2
sin
(
α
+
γ
)
cos
(
α
−
γ
)
sin
2
(
α
+
γ
)
+
cos
2
(
α
−
γ
)
=
2
tan
β
1
+
tan
2
β
=
sin
2
β
© examsnet.com
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