The diamond shape is formed when you graph these coordinates.
Step-by-step explanation:
csc x / (cot x + tan x)
Write in terms of sine and cosine.
(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]
Multiply top and bottom by sin x.
1 / [cos x + (sin²x / cos x)]
Multiply top and bottom by cos x.
cos x / (cos²x + sin²x)
Use Pythagorean identity.
cos x / 1
cos x
Point- Slope form is
y - y1 = m (x - x1)
m = slope, (x1, y1) = point
Slope intercept form is y = mx + b
m = slope, b = y-intercept
In order for two lines to be parallel, they must have the same slope, so in this case our slope, m = 2. Now use point-slope form to insert the point and solve.
y--2 = 2 (x --5)
y + 2 = 2x + 10
y = 2x + 8
C is the answer...............................
