# maths

Trigonometry write tan in terms of cosec

1. oh my csc = 1/sin as I remember
so
sin = 1/csc

tan = sin/cos
but cos = sqrt(1-sin^2)
so
tan = sin/sqrt(1-sin^2
= 1/csc / [ sqrt(1 - 1/cssc^2)]
multiply top and bottom by csc
tan = 1/ [sqrt( csc^2-1)]

posted by Damon

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