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Verify the identity. 3 1 + tan 2 u 1 tan 2 u = 3 cos 2 u sin 2 u Use a Reciprocal Identity,

Verify the identity.
3
1+ tan2 u1 tan2 u
=
3cos2 u sin2 u
Use a Reciprocal Identity, and simplify the compound fraction by multiplying by a common factor.
3
1+ tan2 u1 tan2 u
=
3
1+
cos2 u
1
sin2 ucos2 u
=
3
1+
cos2 u
cos2 u
1
sin2 ucos2 u
=
3
+ sin2 u
cos2 u sin2 u
Use a Pythagorean Identity.
=
Verify the identity.
3
1+ tan2 u1 tan2 u
=
3cos2 u sin2 u
Use a Reciprocal Identity, and simplify the compound fraction by multiplying by a common factor.
3
1+ tan2 u1 tan2 u
=
3
1+
cos2 u
1
sin2 ucos2 u
=
3
1+
cos2 u
cos2 u
1
sin2 ucos2 u
=
3
+ sin2 u
cos2 u sin2 u
Use a Pythagorean Identity.
=

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