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#