Hello,
Since 3sin x-4sin^3x=sin (3x) (*****)
3sin x-4sin^3x=-1
==>sin (3x)=-1
==>3x=3π/2 +2kπ
==>x=π/2+2kπ/3, k being an integer
(*****)
sin (3x)=sin(x+2x)=sin x cos2x+cos x sin 2x
=sin x(cos²x-sin²x)+2cos²x sin x
=sin x(cos²x+2cos²x-sin²x)
=sinx(3(1-sin²x)-sin²x)
=3sin x-4sin^3x
Well, I don’t necessarily remember how to sketch a plane. However, I can help get you started by defining some words they use and hopefully you will be able to do this on your own!
So this plane is made up of three points, names E, D and B. (Edit: This plane may be made up of four points, because of point A.)
E and B are collinear with A. This basically means that they all are on the same line.
D is a vertex. This basically means that it is a dot that these two lines called rays will shoot out of it. I will attach a picture of a vertex.
CD and FD are called rays. See those little lines above them? I’ll be sure to attached another image so that you know what I’m taking about. Anyway, that means they are rays. Rays are like never ending lines; they start at a point and the line will go on for infinity.
(Edit: where did the point f come from? I really wish you would have attached the full picture...)
Whelp, that’s all I’ve got! Good luck!!
(Edit: looks like I can only attach one picture...I’ll comment the other.)
Parallel lines<span> are two </span>lines<span> that are always the same distance apart and never touch. In order for two </span>lines<span> to be </span>parallel<span>, they must be drawn in the same plane, a perfectly flat surface like a wall or sheet of paper. ... Any </span>line<span> that has the same slope as the original will never intersect with it.</span>
Answer:
x = 12 radical 2 ithink these is ansewer
Answer:
AB and CD are parallel lines
Step-by-step explanation:
• Parallel lines have equal slopes
• The slopes of perpendicular lines are negative reciprocals
Calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)
m =
=
= 2
let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)
m =
=
= 2
Since slope of AB and CD are equal then lines are parallel