Answer:
sin
2
(
x
) ⋅ sin
2
(
x
) cos
2
(
x
) → sin
2 (
x
) tan 2
(
x
)
Step-by-step explanation:
Assuming tan = 2
(
x
)
−
sin
2
(
x
)
=
tan
2
(
x
)
sin
2
(
x
)
,
tart off by rewriting tan
2
(
x
) in to its sin
(
x
) and cos
(
x
) components.
sin
2
(
x
)
cos
2
(
x
)
−
sin
2
(
x
)
Next find a common denominator
(LCD:
cos
2
(
x
)⋅
1
) sin
2(
x
) cos
2
(
x
) ⋅ (
1
1
) − sin
2
(
x
) ⋅
cos
2
(
x
) cos
2
(
x
) → sin
2
(
x
) cos
2
(
x
) − sin
2
(
x
) cos
2
(
x
) cos
2
(
x
)
Combine in to a single fraction and factor out a
sin
2 (
x) . sin
2
(
x
) − sin
2
(
x
) cos
2
(
x
) cos
2
(
x
) → sin
2
(
x) ⋅ sin
2
(
x
)
cos
2
(
x
)
Finally just rewrite sin
2
(
x
) ⋅ sin
2
(
x
) cos
2
(
x
) → sin
2 (
x
) tan 2
(
x
)
