February 10th, 2008



Double Angled
How do you derive the Reducing power for Tangent^2X using the double angle formula for cosine?

Any websites about deriving trigonometric identities would be helpful. Thanks

tan²x =

sin²x
——- =
cos²x

½(1 – cos2x)
—————— =
½(1 + cos2x)

1 – cos2x
————- =
1 + cos2x

2 – 1 – cos2x
—————– =
1 + cos2x

2 – (1 + cos2x)
——————– =
1 + cos2x

2
————- – 1
1 + cos2x

OR

tan²x =

sec²x – 1 =

1
——– – 1 =
cos²x

1
—————— – 1 =
½(1 + cos2x)

2
————- – 1
1 + cos2x

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