In △ABC, ∠B=90∘. If tan A=1√3, then sin A.cos C+cos A.sin C= ___ and, cos A.cos C−sin A.sin C= ___

In △ABC, ∠B=90∘. If tan A=1√3, then sin A.cos C+cos A.sin C=

1.	In △ABC, ∠B=90∘. If tan A=1√3, then sin A.cos C+cos A.sin C= ___ and, cos A.cos C−sin A.sin C= ___
Answer» In $△$ ABC, $∠ B = 90^{\circ}$ . If $t a n A = \frac{1}{\sqrt{3}}$ , then $s i n A . c o s C + c o s A . s i n C =$ ___ and, $c o s A . c o s C - s i n A . s i n C =$ ___