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verify: cos(x)+sin(x)tan(x)=sec(x)

  • trig -

    Let's work on the left side of that possible identity.

    cosx + sinx*tanx = cosx + sin^2x /cosx
    = cosx + (1 - cos^2x)/cosx
    = cosx + 1/cosx - cosx = 1/cosx = secx

    That agrees with the right side, so the identity is true.

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