pre calculus

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Double Angle Formula.
If the double angle formula for cos2(u) = 2cos^2(u)-1, then write the double angle formula for cos2(u) in terms of sine.

  • pre calculus -

    you should write it this way:
    cos (2u) = 2cos^2 (u) - 1
    but we know cos^2 u = 1 - sin^2 u

    so cos (2u) = 2(1 - sin^2 u) - 1
    = 2 - 2sin^2 u - 1
    = 1 - 2sin^2 u

  • pre calculus -

    ohhhhh, i see!
    thank you for making it simple to understand

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