Question

$\cot(270 - 45 )$
​

Answer 1

Answer:

cot{270-45}

=cot{225}...

Answer 2

cot(270-45)=1

Step-by-step explanation:

To evaluate cot (270-45), we have to consider the following important points.  

(i)  $270 - \Theta$ will fall in the  III quadrant.

(ii)  When $(270 - \theta)$will  fall in the  III quadrant we have 270°, "cot" will become "tan"

(iii) In the III quadrant, the sign of "cot" is positive.  

Considering the above points, we have  

cot (270° - θ)  =  tan θ

On putting the value of $\theta$ =45°

cot(270°-45°) = tan 45°

                     = 1