Does $sinx/cosx + cosx/sinx = 1$ ?

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Answer 1 · 2015-04-15T20:02:48

No; in general
$(sin(x))/(cos(x)) +(cos(x))/(sin(x)) != 1$

Consider, for example, the case of $x= pi/4$

$sin(pi/4)=cos(pi/4) (=1/sqrt(2))$

$(sin(pi/4))/(cos(pi/4)) = 1$

and

$(cos(pi/4))/(sin(pi/4)) = 1$

So
$(sin(pi/4))/(cos(pi/4)) + (cos(pi/4))/(sin(pi/4)) = 2 !=1$

Does sinx/cosx + cosx/sinx = 1sinx/cosx + cosx/sinx = 1?