* If cos330°=(√3/2) then prove that;
Please solve this question.

We can use the following equation to determine the value of 165 degrees;

1 - cos(2x)

_______     =     sin²x

     2

Here x = 165 degrees, as we want to prove the value of sin(165)

So that would make 2x = 165(2) = 330. We know cos(330) = √3/2. If we substitute;

1 - √3/2

_______     =    sin²x,

    2

sin = √(1 - √3/2)/2 = √((2 - √3)/4) = √2(√3 - 1) / 4

= √3 - 1 / 2√2 (Proved)

Step-by-step explanation:

Im sorry but knowing formula this is the answer I get

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.