Answer: When you reflect a point across the x-axis the x-coordinate remains the same, but the y-coordinate is transformed into its opposite
Step-by-step explanation:
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:
O
Step-by-step explanation:
the answer is 0
<u>Answer:</u>
1 cm : 10.5 km
<u>Step-by-step explanation:</u>
We are given that two towns are 31.5 km in real and are 3 cm apart on a map and we are to find the scale of the map.
For this, we can use the ratio method.
Therefore, the scale of the map would be 1 cm : 10.5 km.
Answer:
a) FALSE
Step-by-step explanation:
a) FALSE (it was translated from quadrant III to quadrant I)
b) TRUE
c) TRUE
d) TRUE
e) FALSE