If sin(A)=cos(A) was is the angle measurement?
sin(A)=cos(A)cos(A)−sin(A)=0sin(45∘−A)=sin(45∘)⋅cos(A)−cos(45∘)⋅sin(A)sin(45∘)=cos(45∘)=√22sin(45∘−A)=√22⋅cos(A)−√22⋅sin(A)sin(45∘−A)=√22(⋅cos(A)−sin(A))2√2⋅sin(45∘−A)=02√2⋅sin(45∘−A)=cos(A)−sin(A)sin(45∘−A)=045∘−A=arcsin(0)45∘−A=0±n⋅360∘n∈NA=45∘±n⋅360∘sin(45∘−A)=sin(180∘−(45∘−A))=0180∘−(45∘−A)=arcsin(0)180∘−45∘+A=arcsin(0)135∘+A=0±n⋅360∘n∈NA=−135∘±n⋅360∘A=−135∘+360∘±n⋅360∘A=225∘±n⋅360∘