Prove that: 2 sec2 x - sec4x-2 cosec2 x + cosec4 x =I -tan8÷4tanx
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Left side:
1
sin
4
x
−
cos
4
x
sin
4
x
=
1
−
cos
4
x
sin
4
x
=
=
(
1
−
cos
2
x
)
(
1
+
cos
2
x
)
sin
4
x
=
(
sin
2
x
)
(
1
+
cos
2
x
)
sin
4
x
=
1
+
cos
2
x
sin
2
x
=
1
sin
2
x
+
cos
2
x
sin
2
x
=
=
csc
2
x
+
cot
2
x
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