Step-by-step explanation:
1. 1/5
2. 3/5
3. i do not understand
4. 1/2 (even chance)
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
4,200 meters
Or 4.2 km
Hope this helps good luck tho :)
Answer:
domain = ( 3, 11, 121, 34, 23)
range = ( 21, 34, 1, 23)
