+0  
 
0
816
2
avatar

(cos x)/(tan x)(sin x)

 May 25, 2015

Best Answer 

 #1
avatar+14538 
+8

$${\frac{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{x}}\right)}}{\left(\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{x}}\right)}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{x}}\right)}\right)}}$$      =   cot²(x)

 May 25, 2015
 #1
avatar+14538 
+8
Best Answer

$${\frac{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{x}}\right)}}{\left(\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{x}}\right)}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{x}}\right)}\right)}}$$      =   cot²(x)

radix May 25, 2015
 #2
avatar+118608 
+5

I have interpreted the question differently from Radix,  that is why we have different answers 

AND that is why brackets are so VERY important!

 

$$\\cosx\div tanx \times sinx\\\\
=cosx \div \frac{sinx}{cosx}\times sin x\\\\
=cosx \times \frac{cosx}{sinx}\times sin x\\\\
=cos^2x$$

 May 25, 2015

3 Online Users

avatar
avatar