book Maths Puzzle Numerical Ability

Sec a- Cos a/ Tan a = Sin a

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book Other Question

find the equation for the parabola with focus (1,4) and directrix x=-3 in my algebra 2 class, we got an extra credit question: 1 over (the cubed root of 2, minus 1). we need to simplify it and/or solve it. please help