Answer:
(-2,-1)
Step-by-step explanation:
3-5=-2
-4+3=-1
I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Perimeter = 2(l+w) or 2(length+width)
So far you have the width, which is 19feet. Since you have two sides of the rectangle which are 19 feet, add 19+19=38
Subtract 62-38 to get 24.
You now have the length of both of the sides combined. So you need to divide 24/2 = 12
The length of the rectangle = 12ft.
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