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
You know b=0 because it is passing through the orgin (0,0) and b is the y intercept. You input (-3,6) as (x,y)
<u>Answer</u>
26.6°
<u>Explanation</u>
You are required to use the trigonometric ratio, sine, to find that angle.
SinФ = opposite/hypotenuse
sin Θ = 2.6/5.8
= 0.4483
The angle Θ = Anti-sine(0.4483)
= 26.633°
The angle the slide makes with the ground, correct to one decimal place is 26.6°
Answer:
The line passing through the given points is:

in its slope-intercept form
Step-by-step explanation:
Start by finding the slope of the segment that joins the two given points using the slope formula:

which for our case renders:

Now we can find the y-intercept by using any one of the given points in the general slope-intercept form of a line with this slope:

Therefore, the equation of the line becomes:
