Question 1187011


1. csc𝜃cos𝜃/cot𝜃=1 

2. (sin𝜃−cos𝜃)^2=1−sin(2𝜃)

Hello! For these two problems, I am so lost and don't know what to do or how to solve this. How do verify the identity for both of these?
<pre>              {{{matrix(1,3, csc (theta) cos (theta)/cot (theta), "=", highlight(1))}}}
         {{{matrix(1,3, ((1/sin (theta)) * cos (theta))/(cos (theta)/sin (theta)), "=", highlight(1))}}} ------ Substituting {{{matrix(2,3, 1/sin (theta), for, csc (theta), cos (theta)/sin (theta), for, cot (theta))}}}
{{{(1/sin (theta)) * cos (theta)}}} <font color = red><font size = 4><b>÷ </font></font></b>{{{matrix(1,3, cos (theta)/sin (theta), "=", highlight(1))}}} 
         {{{matrix(1,3, (cos (theta)/sin (theta)) * (sin (theta)/cos (theta)), "=", highlight(1))}}} 
         {{{matrix(1,3, cross((cos (theta))/cross(sin (theta))) * cross((sin (theta))/cross(cos (theta))), "=", highlight(1))}}}
                        {{{highlight_green(matrix(1,3, highlight(1), "=", highlight(1)))}}}