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Mathematics
Mathematics
Problem
In Exercises 73-78, confirm the identity. 76.
cos
6
x
−
sin
6
x
=
(
cos
2
x
−
sin
2
x
)
(
1
−
cos
2
x
sin
2
x
)
\cos ^{6} x-\sin ^{6} x=\left(\cos ^{2} x-\sin ^{2} x\right)\left(1-\cos ^{2} x \sin ^{2} x\right)
cos
6
x
−
sin
6
x
=
(
cos
2
x
−
sin
2
x
)
(
1
−
cos
2
x
sin
2
x
)
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