Answer:
115% increase.
Step-by-step explanation:
129 - 60 = 69 / 60 = 1.15
1.15 x 100 = 115
Answer:
(-1,3)
Step-by-step explanation:
Thus;
When (-1,3) is placed in the relation 3x + y =0,the answer will be zero.
<h3>Calculations</h3>
Let;
x= -1
y= 3
3(-1) + 3 =0
-3 + 3 = 0
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
