Question

In ΔABC, if∠B = 90° and cot A = 1, then the value of cos C sin A – cos A sin C is​

Answer 1

Answer:

The answer is 0

Step-by-step explanation:

Since $\cot A=1\Rightarrow A=45^\circ$

Also $B=90^\circ\therefore C=90^\circ-A=45^\circ$

Thus  $\cos C\sin A-\cos A\sin C$

         $=\cos 45^\circ\sin 45^\circ-\cos 45^\circ\sin 45^\circ\\=0$