(Q4)Prove that
1 +sec A
sec A
=
sin
2
A
1 - cos A
Answer:
L.H.S =
1 +sec A
sec A
=
1
sec A
+
sec A
sec A
=
A+1
=
(
A+1)(
A-1)
(cos A-1)
=
2
A - 1
cos A - 1
=
-1(1 -
2
A)
-1 (1- cos A)
=
1 -
2
A
1 - cos A
[1 -
2
A = sin
2
A]
=
sin
2
A
1 - cos A
clear