cos (2x) = cos x
2 cos^2 x -1 = cos x using the double angle formula
2 cos ^2 x -cos x -1 =0
factor
(2 cos x+1) ( cos x -1) = 0
using the zero product property
2 cos x+1 =0 cos x -1 =0
2 cos x = -1 cos x =1
cos x = -1/2 cos x=1
taking the arccos of each side
arccos cos x = arccos (-1/2) arccos cos x = arccos 1
x = 120 degrees x=-120 degrees x=0
remember you get 2 values ( 2nd and 3rd quadrant)
these are the principal values
now we need to add 360
x = 120+ 360n x=-120+ 360n x = 0 + 360n where n is an integer
(r+b-g)(b-g)
I this question , we have the values of r,b and g given , which are r=9,b=5,g=6
And we have to find the value of the given expression . And for that we need to substitute the values of r,b and 9 in the expression. That is ,
(9+5-6)(5-6) = 8(-1) = -8
So the value of the given expression is -8.
i believe the answer is 35 dimes and 65 nickels (sorry if i’m wrong lol)
The correct answer for this question is this one: "B. increase your scale values"
<span>When creating a scatterplot, if the points are too close together to see the relationship, You adjust your graph by </span><em>increasing your scale values</em>
Hope this helps answer your question and have a nice day ahead.
5x+y= -5 , i hope I help you
