Answer:
Step-by-step explanation:
what is the value of a in a/5 + 3= 8
a/5 + 3= 8
a/5 = 8 - 3
a/5 = 5
a = 5 * 5
a = 25
Answer:
y = x - 4
Step-by-step explanation:
The line passes through (-1,-5) and (-3,-7)
The slope of a line is given by; change in y ÷ change in x
i.e slope =
=
= 1
Taking another point (x,y) on the line.
Slope will be;
= 1
Cross multiplying gives; y + 5 = x + 1
Simplifying this equation gives us the equation of our line which is;
y = x - 4
We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)