simplify:- sin4thetha+cos4thetha
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Answer:
Explanation:
sin
4
θ
−
cos
4
θ
=
(
sin
2
θ
)
2
−
(
cos
2
θ
)
2
(and using
(
a
2
−
b
2
)
=
(
a
+
b
)
(
a
−
b
)
, this becomes)
=
(
sin
2
θ
−
cos
2
θ
)
(
sin
2
θ
+
cos
2
θ
)
=
(
sin
2
θ
−
cos
2
θ
)
⋅
1
=
−
(
cos
2
θ
−
sin
2
θ
)
(as
cos
2
A
−
sin
2
A
=
cos
2
A
)
=
−
cos
2
θ
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