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
Answer:
30% chance the reason I say that is because he only has 1 kiwi and for the most part he would choose the Kiwi first don't quote me on that just trying to help
Answer:
-49
Step-by-step explanation:
you can first divide both sides by -6
so
-12 = y+37
so y = -12-37 = -49
B + G = 63
B = G + 11
G + 11 + G = 63
2G + 11 = 63
2G = 63 - 11
2G = 52
G = 52/2
G = 26 <=== 26 girls
B = G + 11
B = 26 + 11
B = 37 <=== 37 boys
