Let theta = A... Since I got no theta in my phone's keyboard
CotA /cosAsecA
Buh we all know cotA=1/tanA.....which can also be rewritten as cosA/sinA.... (thus the reciprocative Form of sinA/cosA)
SecA=1/cosA
Therefore
1/tanA ÷cosAx1/cosA
1/tanA ÷cosA/cosA
CosA/cosA=1
1/tan A÷1
Hence =cosA/sinA