The room is not in shape of a square but a rectangle.
Question says Length is: 19 inches
Diagonal is: 20.6 inches
In a square all sides are equal
Rectangle has just two sides equal
Answer:

Step-by-step explanation:


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First you would need to add up all of the data given, then divide the sum by 9 because there is 9 pieces of data. So it would be 229/9=25.4444444 repeating.
Cot A=1/tan A=12/5
cos A= 12/13
sin A=5/13
Draw a right angled triangle
the hypotenuse is the longest side which is 13 using Pythagoras theorem
the side opposite the angle A is 5
the side closest to the angle A which is called the adjacent is 12
sinA =opp/hyp
cos A= adj/hyp
cotA =1/tanA=cos A/sinA
Note: Pythagoras theorem is
hyp²=opp²+adj²
Remember:
sec t=1/cos t
sin²t+cos²t=1 ⇒sin²t=1-cos² t
Therefore:
cos t(sec t- cost)=(cos t* sec t)- cos² t=(cos t * 1/cos t)-cos² t=1-cos²t=sin² t
Answer: cos t(sec t-cos t)=sin² t